drawing 4.5Amps from a battery is not trivial. You should look at Electric Remote control vehicles (planes, cars, quadrotors) batteries. Seems to me they draw a ton of current in a short period of time. www.hobbyking.com is where I have often purchased large LiPo batteries. You need to make sure that the battery is rated for your discharge current. Read the reviews, not all batteries are the same.
Also these are good for learning how to properly select the correct battery for your project - https://learn.sparkfun.com/tutorials/how-to-power-a-project/remotemobile-power
This link is useful to understand safe discharge rates for high current batteries
You need to pay attention to the ‘C’ rating on the battery. For example if you had an 2200mAh battery and wanted to discharge it at a rate of 4.4 Amps that battery needs to have a ‘2C’ discharge rating.
Again be very careful when playing around with batteries capable of providing high current discharges. You can arc things accidentally and even burn yourself or start a fire.
This battery is rated to a discharge rate of 1/2C so you should safely get 1.25 Amp discharge. I would not recommend it.
This battery does not have a ‘C’ rating and is in the AA form, so I would not recommend it.