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Finding the Fourth Proportional to 3,939.71, 5,436.81 and 2,171.27

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Solution

The fourth proportional to 3,939.71, 5,436.81 and 2,171.27 is: 2,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.71 : 5,436.81 = 2,171.27 : x
  2. Step 2: Convert to fraction form
    3,939.71/5,436.81 = 2,171.27/x
  3. Step 3: Cross multiply
    3,939.71x = 5,436.81 × 2,171.27
  4. Step 4: Simplify right side
    3,939.71x = 11,804,796.04
  5. Step 5: Solve for x
    x = 11,804,796.04/3,939.71
  6. Step 6: Final answer
    x = 2,996.37

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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.