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Finding the Fourth Proportional to 5,229.68, 7,841.16 and 2,452.64

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Solution

The fourth proportional to 5,229.68, 7,841.16 and 2,452.64 is: 3,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.68 : 7,841.16 = 2,452.64 : x
  2. Step 2: Convert to fraction form
    5,229.68/7,841.16 = 2,452.64/x
  3. Step 3: Cross multiply
    5,229.68x = 7,841.16 × 2,452.64
  4. Step 4: Simplify right side
    5,229.68x = 19,231,542.66
  5. Step 5: Solve for x
    x = 19,231,542.66/5,229.68
  6. Step 6: Final answer
    x = 3,677.38

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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.