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Finding the Fourth Proportional to 3,694.62, 5,098.68 and 2,122.68

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Solution

The fourth proportional to 3,694.62, 5,098.68 and 2,122.68 is: 2,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.62 : 5,098.68 = 2,122.68 : x
  2. Step 2: Convert to fraction form
    3,694.62/5,098.68 = 2,122.68/x
  3. Step 3: Cross multiply
    3,694.62x = 5,098.68 × 2,122.68
  4. Step 4: Simplify right side
    3,694.62x = 10,822,866.06
  5. Step 5: Solve for x
    x = 10,822,866.06/3,694.62
  6. Step 6: Final answer
    x = 2,929.36

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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.