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Finding the Fourth Proportional to 3,659.45, 5,049.92 and 2,167.38

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Solution

The fourth proportional to 3,659.45, 5,049.92 and 2,167.38 is: 2,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.45 : 5,049.92 = 2,167.38 : x
  2. Step 2: Convert to fraction form
    3,659.45/5,049.92 = 2,167.38/x
  3. Step 3: Cross multiply
    3,659.45x = 5,049.92 × 2,167.38
  4. Step 4: Simplify right side
    3,659.45x = 10,945,073.96
  5. Step 5: Solve for x
    x = 10,945,073.96/3,659.45
  6. Step 6: Final answer
    x = 2,990.91

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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.