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Finding the Fourth Proportional to 3,966.71, 5,942.37 and 2,117.21

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Solution

The fourth proportional to 3,966.71, 5,942.37 and 2,117.21 is: 3,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.71 : 5,942.37 = 2,117.21 : x
  2. Step 2: Convert to fraction form
    3,966.71/5,942.37 = 2,117.21/x
  3. Step 3: Cross multiply
    3,966.71x = 5,942.37 × 2,117.21
  4. Step 4: Simplify right side
    3,966.71x = 12,581,260.04
  5. Step 5: Solve for x
    x = 12,581,260.04/3,966.71
  6. Step 6: Final answer
    x = 3,171.71

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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.