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Finding the Fourth Proportional to 5,691.72, 8,537.67 and 2,229.78

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Solution

The fourth proportional to 5,691.72, 8,537.67 and 2,229.78 is: 3,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.72 : 8,537.67 = 2,229.78 : x
  2. Step 2: Convert to fraction form
    5,691.72/8,537.67 = 2,229.78/x
  3. Step 3: Cross multiply
    5,691.72x = 8,537.67 × 2,229.78
  4. Step 4: Simplify right side
    5,691.72x = 19,037,125.81
  5. Step 5: Solve for x
    x = 19,037,125.81/5,691.72
  6. Step 6: Final answer
    x = 3,344.71

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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.