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Finding the Fourth Proportional to 5,759.50, 8,641.29 and 2,839.87

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Solution

The fourth proportional to 5,759.50, 8,641.29 and 2,839.87 is: 4,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.50 : 8,641.29 = 2,839.87 : x
  2. Step 2: Convert to fraction form
    5,759.50/8,641.29 = 2,839.87/x
  3. Step 3: Cross multiply
    5,759.50x = 8,641.29 × 2,839.87
  4. Step 4: Simplify right side
    5,759.50x = 24,540,140.23
  5. Step 5: Solve for x
    x = 24,540,140.23/5,759.50
  6. Step 6: Final answer
    x = 4,260.81

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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.