Everything is symmetrical in its own way

Algebra Level 2

Find \(\color{blue}{A}:\color{red}{S}:\color{green}{K}\) if \[\dfrac{\color{blue}{A}+\color{red}{S}}{2}=\dfrac{\color{red}{S}+\color{green}{K}}{3}=\dfrac{\color{blue}{A}+\color{green}{K}}{4}.\]