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Finding the Fourth Proportional to 5,767.50, 8,642.90 and 3,132.78

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Solution

The fourth proportional to 5,767.50, 8,642.90 and 3,132.78 is: 4,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.50 : 8,642.90 = 3,132.78 : x
  2. Step 2: Convert to fraction form
    5,767.50/8,642.90 = 3,132.78/x
  3. Step 3: Cross multiply
    5,767.50x = 8,642.90 × 3,132.78
  4. Step 4: Simplify right side
    5,767.50x = 27,076,279.68
  5. Step 5: Solve for x
    x = 27,076,279.68/5,767.50
  6. Step 6: Final answer
    x = 4,694.63

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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.