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Finding the Fourth Proportional to 4,249.62, 6,375.33 and 1,327.50

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Solution

The fourth proportional to 4,249.62, 6,375.33 and 1,327.50 is: 1,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.62 : 6,375.33 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    4,249.62/6,375.33 = 1,327.50/x
  3. Step 3: Cross multiply
    4,249.62x = 6,375.33 × 1,327.50
  4. Step 4: Simplify right side
    4,249.62x = 8,463,250.58
  5. Step 5: Solve for x
    x = 8,463,250.58/4,249.62
  6. Step 6: Final answer
    x = 1,991.53

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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.