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Finding the Fourth Proportional to 3,650.46, 5,027.02 and 3,171.69

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Solution

The fourth proportional to 3,650.46, 5,027.02 and 3,171.69 is: 4,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.46 : 5,027.02 = 3,171.69 : x
  2. Step 2: Convert to fraction form
    3,650.46/5,027.02 = 3,171.69/x
  3. Step 3: Cross multiply
    3,650.46x = 5,027.02 × 3,171.69
  4. Step 4: Simplify right side
    3,650.46x = 15,944,141.13
  5. Step 5: Solve for x
    x = 15,944,141.13/3,650.46
  6. Step 6: Final answer
    x = 4,367.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.