INFLT ENG SHUTDOWN AFTER #2 ENG EXPERIENCES FUEL EXHAUSTION.

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ENRTE TO AZO 10 MI W OF AZO WE HAD A LOW FUEL PRESSURE LIGHT ILLUMINATE ON THE CENTRAL WARNING PANEL INDICATING A LOW FUEL PRESSURE IN THE R ENG. WHILE PERFORMING THE CHKLIST ITEMS FOR THE LOW FUEL PRESSURE LIGHT; THE R ENG SPOOLED DOWN AND A HALF SECOND LATER SPOOLED BACK UP; BUT R ENG GAUGES WERE RAISING SO FAST THE TEMP LIMITATION WAS GOING TO BE EXCEEDED. SO THE CAPT ASKED ME TO SHUT IT DOWN AND COMPLETE THE SUBSEQUENT CHKLIST. AFTER COMPLETING THE CHKLIST; I INFORMED ATC OF THE PROBLEM AND ASKED FOR CRASH FIRE RESCUE TO STAND BY. THE CAPT ASKED ME TO INFORM THE FLT ATTENDANT AND HAVE HER PREPARE FOR LNDG. THE APCH AND LNDG AT AZO WAS NORMAL. CRASH FIRE RESCUE FOLLOWED US TO THE GATE AND WE COMPLETED THE SHUT DOWN CHKLIST. WHEN I WENT TO INSPECT THE ENG; I FOUND THAT IT LOOKED NORMAL BUT WHEN INSPECTING THE OUTSIDE FUEL GAUGE WE NOTED THAT THE AFT FUEL GAUGE INDICATED 1000 POUNDS; EXACTLY WHAT IT INDICATED AT ORD WHEN WE DEPARTED THE GATE. 1/2 HR LATER; THE AFT FUEL GAUGE INDICATED 600 POUNDS; 10 MINS LATER; THE AFT FUEL GAUGE INDICATED 500 POUNDS. 20 MINS LATER; IT INDICATED 350 POUNDS AND THAT'S WHERE IT STABILIZED. WHEN MAINT INSPECTED THE AFT TANKS THEY INDICATED THE AFT TANK WAS BONE DRY; EVEN THE AFT TANK WAS INDICATING 350 POUNDS. FORWARD FUEL TANK AND FORWARD FUEL GAUGE HAD THE CORRECT READING OF 650 POUNDS. THE EVIDENCE SHOWS THAT THE AFT GAUGE WAS READING MUCH HIGHER THAN IT SHOULD HAVE WITH FUEL ON BOARD; MEANING WE WERE NOT FUELED PROPERLY; WE WERE SHORTED; DUE TO NO FAULT OF THE FUELING TECHNICIAN OR COCKPIT CREW. WE HAD FLOWN THIS PLANE 2 PRIOR LEGS BEING SHORTED FUEL EACH TIME UNTIL WE RAN OUT OF FUEL IN THE AFT FUEL TANK ENRTE TO AZO. IN ORDER TO AVOID THIS PROBLEM IN THE FUTURE; I FEEL THAT FUEL SLIPS SHOULD INDICATE FUEL ADDED IN POUNDS AND GALLONS AND INCREASE MAINT INSPECTIONS OR SOME TYPE OF AD FOR THE LTT FUEL INDICATING SYS. ALSO CLOSER INSPECTION OF FUEL RECEIVED BY THE PLT BY MULTIPLYING THE POUNDS BY THE GALLONS RECEIVED EACH LEG.