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Finding the Fourth Proportional to 3,920.22, 5,421.92 and 3,854.61

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Solution

The fourth proportional to 3,920.22, 5,421.92 and 3,854.61 is: 5,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.22 : 5,421.92 = 3,854.61 : x
  2. Step 2: Convert to fraction form
    3,920.22/5,421.92 = 3,854.61/x
  3. Step 3: Cross multiply
    3,920.22x = 5,421.92 × 3,854.61
  4. Step 4: Simplify right side
    3,920.22x = 20,899,367.78
  5. Step 5: Solve for x
    x = 20,899,367.78/3,920.22
  6. Step 6: Final answer
    x = 5,331.17

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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.