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Finding the Fourth Proportional to 3,832.62, 5,751.78 and 2,847.72

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Solution

The fourth proportional to 3,832.62, 5,751.78 and 2,847.72 is: 4,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.62 : 5,751.78 = 2,847.72 : x
  2. Step 2: Convert to fraction form
    3,832.62/5,751.78 = 2,847.72/x
  3. Step 3: Cross multiply
    3,832.62x = 5,751.78 × 2,847.72
  4. Step 4: Simplify right side
    3,832.62x = 16,379,458.94
  5. Step 5: Solve for x
    x = 16,379,458.94/3,832.62
  6. Step 6: Final answer
    x = 4,273.70

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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.