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Finding the Fourth Proportional to 4,171.77, 6,227.21 and 3,863.43

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Solution

The fourth proportional to 4,171.77, 6,227.21 and 3,863.43 is: 5,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.77 : 6,227.21 = 3,863.43 : x
  2. Step 2: Convert to fraction form
    4,171.77/6,227.21 = 3,863.43/x
  3. Step 3: Cross multiply
    4,171.77x = 6,227.21 × 3,863.43
  4. Step 4: Simplify right side
    4,171.77x = 24,058,399.59
  5. Step 5: Solve for x
    x = 24,058,399.59/4,171.77
  6. Step 6: Final answer
    x = 5,766.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.