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Finding the Fourth Proportional to 5,691.12, 8,522.10 and 3,493.20

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Solution

The fourth proportional to 5,691.12, 8,522.10 and 3,493.20 is: 5,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.12 : 8,522.10 = 3,493.20 : x
  2. Step 2: Convert to fraction form
    5,691.12/8,522.10 = 3,493.20/x
  3. Step 3: Cross multiply
    5,691.12x = 8,522.10 × 3,493.20
  4. Step 4: Simplify right side
    5,691.12x = 29,769,399.72
  5. Step 5: Solve for x
    x = 29,769,399.72/5,691.12
  6. Step 6: Final answer
    x = 5,230.85

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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.