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Finding the Fourth Proportional to 4,849.38, 6,691.41 and 2,753.46

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Solution

The fourth proportional to 4,849.38, 6,691.41 and 2,753.46 is: 3,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.38 : 6,691.41 = 2,753.46 : x
  2. Step 2: Convert to fraction form
    4,849.38/6,691.41 = 2,753.46/x
  3. Step 3: Cross multiply
    4,849.38x = 6,691.41 × 2,753.46
  4. Step 4: Simplify right side
    4,849.38x = 18,424,529.78
  5. Step 5: Solve for x
    x = 18,424,529.78/4,849.38
  6. Step 6: Final answer
    x = 3,799.36

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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.