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Finding the Fourth Proportional to 3,960.74, 5,451.72 and 3,462.14

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Solution

The fourth proportional to 3,960.74, 5,451.72 and 3,462.14 is: 4,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.74 : 5,451.72 = 3,462.14 : x
  2. Step 2: Convert to fraction form
    3,960.74/5,451.72 = 3,462.14/x
  3. Step 3: Cross multiply
    3,960.74x = 5,451.72 × 3,462.14
  4. Step 4: Simplify right side
    3,960.74x = 18,874,617.88
  5. Step 5: Solve for x
    x = 18,874,617.88/3,960.74
  6. Step 6: Final answer
    x = 4,765.43

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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.