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Finding the Fourth Proportional to 3,896.72, 5,375.60 and 2,832.83

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Solution

The fourth proportional to 3,896.72, 5,375.60 and 2,832.83 is: 3,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.72 : 5,375.60 = 2,832.83 : x
  2. Step 2: Convert to fraction form
    3,896.72/5,375.60 = 2,832.83/x
  3. Step 3: Cross multiply
    3,896.72x = 5,375.60 × 2,832.83
  4. Step 4: Simplify right side
    3,896.72x = 15,228,119.91
  5. Step 5: Solve for x
    x = 15,228,119.91/3,896.72
  6. Step 6: Final answer
    x = 3,907.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.