I'm having problems with my 2004 mustang gt where the car cranks and starts but immediately dies even when I try to keep it alive by giving it a little gas it still dies. So it all started when I was driving the car to a gas station. The car started up fine and drove fine until I was coming up on a light I tried to beat the light but I couldn't so I braked hard to come to a stop and that's when the car first turned off. I was able to turn it back on before the light turned green but I had to keep on the gas a little to keep it alive. As soon as I pulled into the gas station the car turned off again but this time it would start and die immediately. I pumped some gas and tried again but still no luck I keep trying to keep it alive by giving it gas but it would stumble and just shut off. I had it towed to my house and started to check different things. I first checked the fuse for the fuel pump but it was fine then i checked if the relay was working for the fuel pump (on the ccrm) I could hear the click when it would come on. So then I thought it might be the fuel filter so I changed it out but still nothing. I tried changing out the tps sensor since I had an extra one laying around but still nothing. Anyone have an idea of what could be causing this problem?