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Finding the Fourth Proportional to 5,791.57, 8,682.22 and 2,787.86

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Solution

The fourth proportional to 5,791.57, 8,682.22 and 2,787.86 is: 4,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.57 : 8,682.22 = 2,787.86 : x
  2. Step 2: Convert to fraction form
    5,791.57/8,682.22 = 2,787.86/x
  3. Step 3: Cross multiply
    5,791.57x = 8,682.22 × 2,787.86
  4. Step 4: Simplify right side
    5,791.57x = 24,204,813.85
  5. Step 5: Solve for x
    x = 24,204,813.85/5,791.57
  6. Step 6: Final answer
    x = 4,179.32

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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.