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Finding the Fourth Proportional to 5,753.12, 8,613.59 and 4,692.56

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Solution

The fourth proportional to 5,753.12, 8,613.59 and 4,692.56 is: 7,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.12 : 8,613.59 = 4,692.56 : x
  2. Step 2: Convert to fraction form
    5,753.12/8,613.59 = 4,692.56/x
  3. Step 3: Cross multiply
    5,753.12x = 8,613.59 × 4,692.56
  4. Step 4: Simplify right side
    5,753.12x = 40,419,721.36
  5. Step 5: Solve for x
    x = 40,419,721.36/5,753.12
  6. Step 6: Final answer
    x = 7,025.71

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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.