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Finding the Fourth Proportional to 4,249.92, 6,375.77 and 1,328.44

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Solution

The fourth proportional to 4,249.92, 6,375.77 and 1,328.44 is: 1,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.92 : 6,375.77 = 1,328.44 : x
  2. Step 2: Convert to fraction form
    4,249.92/6,375.77 = 1,328.44/x
  3. Step 3: Cross multiply
    4,249.92x = 6,375.77 × 1,328.44
  4. Step 4: Simplify right side
    4,249.92x = 8,469,827.90
  5. Step 5: Solve for x
    x = 8,469,827.90/4,249.92
  6. Step 6: Final answer
    x = 1,992.94

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