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Finding the Fourth Proportional to 3,960.29, 5,461.12 and 3,402.61

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Solution

The fourth proportional to 3,960.29, 5,461.12 and 3,402.61 is: 4,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.29 : 5,461.12 = 3,402.61 : x
  2. Step 2: Convert to fraction form
    3,960.29/5,461.12 = 3,402.61/x
  3. Step 3: Cross multiply
    3,960.29x = 5,461.12 × 3,402.61
  4. Step 4: Simplify right side
    3,960.29x = 18,582,052.12
  5. Step 5: Solve for x
    x = 18,582,052.12/3,960.29
  6. Step 6: Final answer
    x = 4,692.09

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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.