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Finding the Fourth Proportional to 3,496.67, 5,229.50 and 3,109.38

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Solution

The fourth proportional to 3,496.67, 5,229.50 and 3,109.38 is: 4,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.67 : 5,229.50 = 3,109.38 : x
  2. Step 2: Convert to fraction form
    3,496.67/5,229.50 = 3,109.38/x
  3. Step 3: Cross multiply
    3,496.67x = 5,229.50 × 3,109.38
  4. Step 4: Simplify right side
    3,496.67x = 16,260,502.71
  5. Step 5: Solve for x
    x = 16,260,502.71/3,496.67
  6. Step 6: Final answer
    x = 4,650.29

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Why These Related Problems?

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