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Finding the Fourth Proportional to 5,872.24, 8,796.12 and 3,524.80

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Solution

The fourth proportional to 5,872.24, 8,796.12 and 3,524.80 is: 5,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.24 : 8,796.12 = 3,524.80 : x
  2. Step 2: Convert to fraction form
    5,872.24/8,796.12 = 3,524.80/x
  3. Step 3: Cross multiply
    5,872.24x = 8,796.12 × 3,524.80
  4. Step 4: Simplify right side
    5,872.24x = 31,004,563.78
  5. Step 5: Solve for x
    x = 31,004,563.78/5,872.24
  6. Step 6: Final answer
    x = 5,279.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.