Suppose your gross monthly income is $$5,500$ and your current monthly payments are $$425.$ If the bank will allow you to pay up to $36\%$ of gross monthly income $($less current monthly payments$)$ for a monthly house payment, what is the maximum loan you can obtain if the rate for a $30-$year mortgage is $4\mathrm{.}65\%?($Round your answer to the nearest cent.$)$