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Finding the Fourth Proportional to 3,911.71, 5,398.16 and 2,143.31

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Solution

The fourth proportional to 3,911.71, 5,398.16 and 2,143.31 is: 2,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.71 : 5,398.16 = 2,143.31 : x
  2. Step 2: Convert to fraction form
    3,911.71/5,398.16 = 2,143.31/x
  3. Step 3: Cross multiply
    3,911.71x = 5,398.16 × 2,143.31
  4. Step 4: Simplify right side
    3,911.71x = 11,569,922.17
  5. Step 5: Solve for x
    x = 11,569,922.17/3,911.71
  6. Step 6: Final answer
    x = 2,957.77

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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.