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Finding the Fourth Proportional to 3,489.90, 4,812.12 and 2,229.30

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Solution

The fourth proportional to 3,489.90, 4,812.12 and 2,229.30 is: 3,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.90 : 4,812.12 = 2,229.30 : x
  2. Step 2: Convert to fraction form
    3,489.90/4,812.12 = 2,229.30/x
  3. Step 3: Cross multiply
    3,489.90x = 4,812.12 × 2,229.30
  4. Step 4: Simplify right side
    3,489.90x = 10,727,659.12
  5. Step 5: Solve for x
    x = 10,727,659.12/3,489.90
  6. Step 6: Final answer
    x = 3,073.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.