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Finding the Fourth Proportional to 3,767.88, 5,202.24 and 2,882.12

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Solution

The fourth proportional to 3,767.88, 5,202.24 and 2,882.12 is: 3,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.88 : 5,202.24 = 2,882.12 : x
  2. Step 2: Convert to fraction form
    3,767.88/5,202.24 = 2,882.12/x
  3. Step 3: Cross multiply
    3,767.88x = 5,202.24 × 2,882.12
  4. Step 4: Simplify right side
    3,767.88x = 14,993,479.95
  5. Step 5: Solve for x
    x = 14,993,479.95/3,767.88
  6. Step 6: Final answer
    x = 3,979.29

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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.