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Finding the Fourth Proportional to 3,713.40, 5,126.37 and 2,872.20

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Solution

The fourth proportional to 3,713.40, 5,126.37 and 2,872.20 is: 3,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.40 : 5,126.37 = 2,872.20 : x
  2. Step 2: Convert to fraction form
    3,713.40/5,126.37 = 2,872.20/x
  3. Step 3: Cross multiply
    3,713.40x = 5,126.37 × 2,872.20
  4. Step 4: Simplify right side
    3,713.40x = 14,723,959.91
  5. Step 5: Solve for x
    x = 14,723,959.91/3,713.40
  6. Step 6: Final answer
    x = 3,965.09

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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.