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Finding the Fourth Proportional to 3,913.31, 5,400.17 and 2,144.87

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Solution

The fourth proportional to 3,913.31, 5,400.17 and 2,144.87 is: 2,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.31 : 5,400.17 = 2,144.87 : x
  2. Step 2: Convert to fraction form
    3,913.31/5,400.17 = 2,144.87/x
  3. Step 3: Cross multiply
    3,913.31x = 5,400.17 × 2,144.87
  4. Step 4: Simplify right side
    3,913.31x = 11,582,624.90
  5. Step 5: Solve for x
    x = 11,582,624.90/3,913.31
  6. Step 6: Final answer
    x = 2,959.81

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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.