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Finding the Fourth Proportional to 5,170.38, 7,135.26 and 2,932.17

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Solution

The fourth proportional to 5,170.38, 7,135.26 and 2,932.17 is: 4,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.38 : 7,135.26 = 2,932.17 : x
  2. Step 2: Convert to fraction form
    5,170.38/7,135.26 = 2,932.17/x
  3. Step 3: Cross multiply
    5,170.38x = 7,135.26 × 2,932.17
  4. Step 4: Simplify right side
    5,170.38x = 20,921,795.31
  5. Step 5: Solve for x
    x = 20,921,795.31/5,170.38
  6. Step 6: Final answer
    x = 4,046.47

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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.