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Finding the Fourth Proportional to 3,098.28, 4,278.12 and 2,862.17

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Solution

The fourth proportional to 3,098.28, 4,278.12 and 2,862.17 is: 3,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.28 : 4,278.12 = 2,862.17 : x
  2. Step 2: Convert to fraction form
    3,098.28/4,278.12 = 2,862.17/x
  3. Step 3: Cross multiply
    3,098.28x = 4,278.12 × 2,862.17
  4. Step 4: Simplify right side
    3,098.28x = 12,244,690.64
  5. Step 5: Solve for x
    x = 12,244,690.64/3,098.28
  6. Step 6: Final answer
    x = 3,952.09

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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.