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Finding the Fourth Proportional to 3,502.38, 5,247.39 and 3,121.02

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Solution

The fourth proportional to 3,502.38, 5,247.39 and 3,121.02 is: 4,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.38 : 5,247.39 = 3,121.02 : x
  2. Step 2: Convert to fraction form
    3,502.38/5,247.39 = 3,121.02/x
  3. Step 3: Cross multiply
    3,502.38x = 5,247.39 × 3,121.02
  4. Step 4: Simplify right side
    3,502.38x = 16,377,209.14
  5. Step 5: Solve for x
    x = 16,377,209.14/3,502.38
  6. Step 6: Final answer
    x = 4,676.02

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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.