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Finding the Fourth Proportional to 5,761.85, 8,637.16 and 3,126.97

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Solution

The fourth proportional to 5,761.85, 8,637.16 and 3,126.97 is: 4,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.85 : 8,637.16 = 3,126.97 : x
  2. Step 2: Convert to fraction form
    5,761.85/8,637.16 = 3,126.97/x
  3. Step 3: Cross multiply
    5,761.85x = 8,637.16 × 3,126.97
  4. Step 4: Simplify right side
    5,761.85x = 27,008,140.21
  5. Step 5: Solve for x
    x = 27,008,140.21/5,761.85
  6. Step 6: Final answer
    x = 4,687.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.