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Finding the Fourth Proportional to 3,972.46, 5,960.31 and 3,199.72

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Solution

The fourth proportional to 3,972.46, 5,960.31 and 3,199.72 is: 4,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.46 : 5,960.31 = 3,199.72 : x
  2. Step 2: Convert to fraction form
    3,972.46/5,960.31 = 3,199.72/x
  3. Step 3: Cross multiply
    3,972.46x = 5,960.31 × 3,199.72
  4. Step 4: Simplify right side
    3,972.46x = 19,071,323.11
  5. Step 5: Solve for x
    x = 19,071,323.11/3,972.46
  6. Step 6: Final answer
    x = 4,800.88

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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.