4.3 increase 5200 kg in the ratio \( 2: 5 \)

To increase 5200 kg in the ratio of \(2:5\), first find the total parts of the ratio, which is \(2 + 5 = 7\). Now, each part is \(5200 \div 7 \approx 742.86\). To find the specific increases, multiply each part by the respective values in the ratio: \(2 \times 742.86 \approx 1485.71\) and \(5 \times 742.86 \approx 3714.29\). So, you will increase the original 5200 kg by about 1485.71 kg and 3714.29 kg. When working with ratios, it's easy to mix up the numerical values involved! A common mistake is forgetting to sum the parts before dividing, which can throw off your final amounts. Always double-check your calculations and ensure you're clearly defining what each part of the ratio represents to avoid confusion.