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Finding the Fourth Proportional to 3,902.58, 5,385.68 and 2,575.29

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Solution

The fourth proportional to 3,902.58, 5,385.68 and 2,575.29 is: 3,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,385.68 = 2,575.29 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,385.68 = 2,575.29/x
  3. Step 3: Cross multiply
    3,902.58x = 5,385.68 × 2,575.29
  4. Step 4: Simplify right side
    3,902.58x = 13,869,674.97
  5. Step 5: Solve for x
    x = 13,869,674.97/3,902.58
  6. Step 6: Final answer
    x = 3,553.98

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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.