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Finding the Fourth Proportional to 3,912.71, 5,399.51 and 2,144.31

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Solution

The fourth proportional to 3,912.71, 5,399.51 and 2,144.31 is: 2,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.71 : 5,399.51 = 2,144.31 : x
  2. Step 2: Convert to fraction form
    3,912.71/5,399.51 = 2,144.31/x
  3. Step 3: Cross multiply
    3,912.71x = 5,399.51 × 2,144.31
  4. Step 4: Simplify right side
    3,912.71x = 11,578,223.29
  5. Step 5: Solve for x
    x = 11,578,223.29/3,912.71
  6. Step 6: Final answer
    x = 2,959.13

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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.