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Finding the Fourth Proportional to 3,489.12, 5,227.20 and 3,100.32

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Solution

The fourth proportional to 3,489.12, 5,227.20 and 3,100.32 is: 4,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.12 : 5,227.20 = 3,100.32 : x
  2. Step 2: Convert to fraction form
    3,489.12/5,227.20 = 3,100.32/x
  3. Step 3: Cross multiply
    3,489.12x = 5,227.20 × 3,100.32
  4. Step 4: Simplify right side
    3,489.12x = 16,205,992.70
  5. Step 5: Solve for x
    x = 16,205,992.70/3,489.12
  6. Step 6: Final answer
    x = 4,644.72

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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.