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Finding the Fourth Proportional to 3,497.67, 5,231 and 3,110.38

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Solution

The fourth proportional to 3,497.67, 5,231 and 3,110.38 is: 4,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.67 : 5,231 = 3,110.38 : x
  2. Step 2: Convert to fraction form
    3,497.67/5,231 = 3,110.38/x
  3. Step 3: Cross multiply
    3,497.67x = 5,231 × 3,110.38
  4. Step 4: Simplify right side
    3,497.67x = 16,270,397.78
  5. Step 5: Solve for x
    x = 16,270,397.78/3,497.67
  6. Step 6: Final answer
    x = 4,651.78

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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.