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Finding the Fourth Proportional to 3,694.31, 5,098.16 and 2,122.71

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Solution

The fourth proportional to 3,694.31, 5,098.16 and 2,122.71 is: 2,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.31 : 5,098.16 = 2,122.71 : x
  2. Step 2: Convert to fraction form
    3,694.31/5,098.16 = 2,122.71/x
  3. Step 3: Cross multiply
    3,694.31x = 5,098.16 × 2,122.71
  4. Step 4: Simplify right side
    3,694.31x = 10,821,904.60
  5. Step 5: Solve for x
    x = 10,821,904.60/3,694.31
  6. Step 6: Final answer
    x = 2,929.34

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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.