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Finding the Fourth Proportional to 3,872.16, 5,343.12 and 2,380.44

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Solution

The fourth proportional to 3,872.16, 5,343.12 and 2,380.44 is: 3,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,343.12 = 2,380.44 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,343.12 = 2,380.44/x
  3. Step 3: Cross multiply
    3,872.16x = 5,343.12 × 2,380.44
  4. Step 4: Simplify right side
    3,872.16x = 12,718,976.57
  5. Step 5: Solve for x
    x = 12,718,976.57/3,872.16
  6. Step 6: Final answer
    x = 3,284.72

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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.