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Finding the Fourth Proportional to 5,524.57, 8,284.02 and 2,236.78

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Solution

The fourth proportional to 5,524.57, 8,284.02 and 2,236.78 is: 3,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.57 : 8,284.02 = 2,236.78 : x
  2. Step 2: Convert to fraction form
    5,524.57/8,284.02 = 2,236.78/x
  3. Step 3: Cross multiply
    5,524.57x = 8,284.02 × 2,236.78
  4. Step 4: Simplify right side
    5,524.57x = 18,529,530.26
  5. Step 5: Solve for x
    x = 18,529,530.26/5,524.57
  6. Step 6: Final answer
    x = 3,354.02

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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.