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Finding the Fourth Proportional to 3,694.26, 5,098.26 and 2,122.86

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Solution

The fourth proportional to 3,694.26, 5,098.26 and 2,122.86 is: 2,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.26 : 5,098.26 = 2,122.86 : x
  2. Step 2: Convert to fraction form
    3,694.26/5,098.26 = 2,122.86/x
  3. Step 3: Cross multiply
    3,694.26x = 5,098.26 × 2,122.86
  4. Step 4: Simplify right side
    3,694.26x = 10,822,892.22
  5. Step 5: Solve for x
    x = 10,822,892.22/3,694.26
  6. Step 6: Final answer
    x = 2,929.65

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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.