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Finding the Fourth Proportional to 3,952.71, 5,916.29 and 2,171.25

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Solution

The fourth proportional to 3,952.71, 5,916.29 and 2,171.25 is: 3,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.71 : 5,916.29 = 2,171.25 : x
  2. Step 2: Convert to fraction form
    3,952.71/5,916.29 = 2,171.25/x
  3. Step 3: Cross multiply
    3,952.71x = 5,916.29 × 2,171.25
  4. Step 4: Simplify right side
    3,952.71x = 12,845,733.81
  5. Step 5: Solve for x
    x = 12,845,733.81/3,952.71
  6. Step 6: Final answer
    x = 3,249.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.