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Finding the Fourth Proportional to 3,487.89, 5,229.30 and 1,638.05

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Solution

The fourth proportional to 3,487.89, 5,229.30 and 1,638.05 is: 2,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.89 : 5,229.30 = 1,638.05 : x
  2. Step 2: Convert to fraction form
    3,487.89/5,229.30 = 1,638.05/x
  3. Step 3: Cross multiply
    3,487.89x = 5,229.30 × 1,638.05
  4. Step 4: Simplify right side
    3,487.89x = 8,565,854.87
  5. Step 5: Solve for x
    x = 8,565,854.87/3,487.89
  6. Step 6: Final answer
    x = 2,455.88

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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.