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Finding the Fourth Proportional to 6,542.08, 9,809.90 and 3,257.04

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Solution

The fourth proportional to 6,542.08, 9,809.90 and 3,257.04 is: 4,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.08 : 9,809.90 = 3,257.04 : x
  2. Step 2: Convert to fraction form
    6,542.08/9,809.90 = 3,257.04/x
  3. Step 3: Cross multiply
    6,542.08x = 9,809.90 × 3,257.04
  4. Step 4: Simplify right side
    6,542.08x = 31,951,236.70
  5. Step 5: Solve for x
    x = 31,951,236.70/6,542.08
  6. Step 6: Final answer
    x = 4,883.96

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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.