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Finding the Fourth Proportional to 3,487.16, 5,229.20 and 1,638.80

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Solution

The fourth proportional to 3,487.16, 5,229.20 and 1,638.80 is: 2,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.16 : 5,229.20 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    3,487.16/5,229.20 = 1,638.80/x
  3. Step 3: Cross multiply
    3,487.16x = 5,229.20 × 1,638.80
  4. Step 4: Simplify right side
    3,487.16x = 8,569,612.96
  5. Step 5: Solve for x
    x = 8,569,612.96/3,487.16
  6. Step 6: Final answer
    x = 2,457.48

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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.