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Finding the Fourth Proportional to 3,791.80, 5,235.92 and 2,377.86

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Solution

The fourth proportional to 3,791.80, 5,235.92 and 2,377.86 is: 3,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.80 : 5,235.92 = 2,377.86 : x
  2. Step 2: Convert to fraction form
    3,791.80/5,235.92 = 2,377.86/x
  3. Step 3: Cross multiply
    3,791.80x = 5,235.92 × 2,377.86
  4. Step 4: Simplify right side
    3,791.80x = 12,450,284.73
  5. Step 5: Solve for x
    x = 12,450,284.73/3,791.80
  6. Step 6: Final answer
    x = 3,283.48

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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.