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Finding the Fourth Proportional to 5,839.88, 8,761.74 and 2,761.16

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Solution

The fourth proportional to 5,839.88, 8,761.74 and 2,761.16 is: 4,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.88 : 8,761.74 = 2,761.16 : x
  2. Step 2: Convert to fraction form
    5,839.88/8,761.74 = 2,761.16/x
  3. Step 3: Cross multiply
    5,839.88x = 8,761.74 × 2,761.16
  4. Step 4: Simplify right side
    5,839.88x = 24,192,566.02
  5. Step 5: Solve for x
    x = 24,192,566.02/5,839.88
  6. Step 6: Final answer
    x = 4,142.65

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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.