Solution:
Rate is expressed as
[tex]\begin{gathered} Rate=\frac{Portion}{Base} \\ where\text{ the rate is expressed in percentage} \end{gathered}[/tex]Given that the portion is $4540 and the rate is 55%, let x represent the base.
Thus, we have
[tex]\begin{gathered} 55\%=\frac{4540}{x} \\ \Rightarrow\frac{55}{100}=\frac{4540}{x} \\ cross-multiply, \\ 55x=454000 \\ divide\text{ both sides by the coefficient of x, which is 55} \\ \frac{55x}{55}=\frac{454000}{55} \\ \Rightarrow x=8254.54545 \end{gathered}[/tex]Hence, the base is 8254.55 (nearest hundredth)
