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Finding the Fourth Proportional to 3,335.14, 5,002.24 and 2,098.78

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Solution

The fourth proportional to 3,335.14, 5,002.24 and 2,098.78 is: 3,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.14 : 5,002.24 = 2,098.78 : x
  2. Step 2: Convert to fraction form
    3,335.14/5,002.24 = 2,098.78/x
  3. Step 3: Cross multiply
    3,335.14x = 5,002.24 × 2,098.78
  4. Step 4: Simplify right side
    3,335.14x = 10,498,601.27
  5. Step 5: Solve for x
    x = 10,498,601.27/3,335.14
  6. Step 6: Final answer
    x = 3,147.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.