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Finding the Fourth Proportional to 5,791.94, 8,692.57 and 3,294.72

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Solution

The fourth proportional to 5,791.94, 8,692.57 and 3,294.72 is: 4,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.94 : 8,692.57 = 3,294.72 : x
  2. Step 2: Convert to fraction form
    5,791.94/8,692.57 = 3,294.72/x
  3. Step 3: Cross multiply
    5,791.94x = 8,692.57 × 3,294.72
  4. Step 4: Simplify right side
    5,791.94x = 28,639,584.23
  5. Step 5: Solve for x
    x = 28,639,584.23/5,791.94
  6. Step 6: Final answer
    x = 4,944.73

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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.