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Finding the Fourth Proportional to 3,182.20, 4,401.42 and 2,814.20

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Solution

The fourth proportional to 3,182.20, 4,401.42 and 2,814.20 is: 3,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.20 : 4,401.42 = 2,814.20 : x
  2. Step 2: Convert to fraction form
    3,182.20/4,401.42 = 2,814.20/x
  3. Step 3: Cross multiply
    3,182.20x = 4,401.42 × 2,814.20
  4. Step 4: Simplify right side
    3,182.20x = 12,386,476.16
  5. Step 5: Solve for x
    x = 12,386,476.16/3,182.20
  6. Step 6: Final answer
    x = 3,892.43

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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.