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Finding the Fourth Proportional to 3,694.38, 5,098.16 and 2,122.44

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Solution

The fourth proportional to 3,694.38, 5,098.16 and 2,122.44 is: 2,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.38 : 5,098.16 = 2,122.44 : x
  2. Step 2: Convert to fraction form
    3,694.38/5,098.16 = 2,122.44/x
  3. Step 3: Cross multiply
    3,694.38x = 5,098.16 × 2,122.44
  4. Step 4: Simplify right side
    3,694.38x = 10,820,538.71
  5. Step 5: Solve for x
    x = 10,820,538.71/3,694.38
  6. Step 6: Final answer
    x = 2,928.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.