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Finding the Fourth Proportional to 5,298.42, 7,948.96 and 3,741.47

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Solution

The fourth proportional to 5,298.42, 7,948.96 and 3,741.47 is: 5,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.42 : 7,948.96 = 3,741.47 : x
  2. Step 2: Convert to fraction form
    5,298.42/7,948.96 = 3,741.47/x
  3. Step 3: Cross multiply
    5,298.42x = 7,948.96 × 3,741.47
  4. Step 4: Simplify right side
    5,298.42x = 29,740,819.92
  5. Step 5: Solve for x
    x = 29,740,819.92/5,298.42
  6. Step 6: Final answer
    x = 5,613.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.