I ran low on gas in my 2004 toyota solara after filling it up i noticed that it lost power and would'nt go over 45 miles per hour....what do you think the proplem could be?

There are always deposits inside the fuel tank. Usually, driving around with more than 1/4 tank slshes them around enough to keep them out of the fuel pump screen. But, when you run low on gas, the sediment gets sucked to the screen, and blocks your fuel flow. If the solara is built like most toyota cars, there will be an overhead access to the tank. This is located under the rear seat bottom. Remove the rear seat bottom by pulling up on the back of it first. then tilt the rear toward you and push the front of the seat about 1/4 inch backwards. This will disengage the front clips of the seat. there will be a little circular cover with 10 or 12 bolts under there. remove the bolts and lift the cover. Pull the assembly out. You have the fuel level and pump assembly in your hands. At the bottom is a little motor and a fine mesh screen. When clean, this screen is white. When dirty, its usually a brown-orange color. You can get this screen from autozone or advance.