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Finding the Fourth Proportional to 3,962.34, 5,469.21 and 2,565.18

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Solution

The fourth proportional to 3,962.34, 5,469.21 and 2,565.18 is: 3,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.34 : 5,469.21 = 2,565.18 : x
  2. Step 2: Convert to fraction form
    3,962.34/5,469.21 = 2,565.18/x
  3. Step 3: Cross multiply
    3,962.34x = 5,469.21 × 2,565.18
  4. Step 4: Simplify right side
    3,962.34x = 14,029,508.11
  5. Step 5: Solve for x
    x = 14,029,508.11/3,962.34
  6. Step 6: Final answer
    x = 3,540.71

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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.