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Finding the Fourth Proportional to 3,920.27, 5,406.80 and 3,447.17

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Solution

The fourth proportional to 3,920.27, 5,406.80 and 3,447.17 is: 4,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.27 : 5,406.80 = 3,447.17 : x
  2. Step 2: Convert to fraction form
    3,920.27/5,406.80 = 3,447.17/x
  3. Step 3: Cross multiply
    3,920.27x = 5,406.80 × 3,447.17
  4. Step 4: Simplify right side
    3,920.27x = 18,638,155.04
  5. Step 5: Solve for x
    x = 18,638,155.04/3,920.27
  6. Step 6: Final answer
    x = 4,754.31

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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.