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Finding the Fourth Proportional to 5,793.86, 8,692.14 and 3,163.88

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Solution

The fourth proportional to 5,793.86, 8,692.14 and 3,163.88 is: 4,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.86 : 8,692.14 = 3,163.88 : x
  2. Step 2: Convert to fraction form
    5,793.86/8,692.14 = 3,163.88/x
  3. Step 3: Cross multiply
    5,793.86x = 8,692.14 × 3,163.88
  4. Step 4: Simplify right side
    5,793.86x = 27,500,887.90
  5. Step 5: Solve for x
    x = 27,500,887.90/5,793.86
  6. Step 6: Final answer
    x = 4,746.56

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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.