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Finding the Fourth Proportional to 3,650.87, 5,471.26 and 3,162.71

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Solution

The fourth proportional to 3,650.87, 5,471.26 and 3,162.71 is: 4,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.87 : 5,471.26 = 3,162.71 : x
  2. Step 2: Convert to fraction form
    3,650.87/5,471.26 = 3,162.71/x
  3. Step 3: Cross multiply
    3,650.87x = 5,471.26 × 3,162.71
  4. Step 4: Simplify right side
    3,650.87x = 17,304,008.71
  5. Step 5: Solve for x
    x = 17,304,008.71/3,650.87
  6. Step 6: Final answer
    x = 4,739.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.