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Finding the Fourth Proportional to 3,126.75, 4,296.87 and 2,982.20

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Solution

The fourth proportional to 3,126.75, 4,296.87 and 2,982.20 is: 4,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.75 : 4,296.87 = 2,982.20 : x
  2. Step 2: Convert to fraction form
    3,126.75/4,296.87 = 2,982.20/x
  3. Step 3: Cross multiply
    3,126.75x = 4,296.87 × 2,982.20
  4. Step 4: Simplify right side
    3,126.75x = 12,814,125.71
  5. Step 5: Solve for x
    x = 12,814,125.71/3,126.75
  6. Step 6: Final answer
    x = 4,098.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.