\(A=\dfrac{4.6+8.12+16.24+36.54}{3.5+6.10+12.20+27.45}\)
\(=\dfrac{8}{5}.\dfrac{4.6+8.12+16.24+36.54}{3.5.\dfrac{8}{5}+6.10.\dfrac{8}{5}+12.20.\dfrac{8}{5}+27.45.\dfrac{8}{5}}\)
\(=\dfrac{8}{5}.\dfrac{4.6+8.12+16.24+36.54}{3.8+6.2.8+12.4.8+27.9.8}\)
\(=\dfrac{8}{5}.\dfrac{4.6+8.12+16.24+36.54}{3.4.2+6.2.8+12.4.2.4+3.9.9.2.4}\)
\(=\dfrac{8}{5}.\dfrac{4.6+8.12+16.24+36.54}{4.\left(3.2\right)+8.\left(6.2\right)+\left(4.4\right).\left(12.2\right)+\left(9.4\right).\left(9.3.2\right)}\)
\(=\dfrac{8}{5}.\dfrac{4.6+8.12+16.24+36.54}{4.6+8.12+16.24+36.54}=\dfrac{8}{5}\)