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Finding the Fourth Proportional to 3,524.64, 5,286.12 and 1,332.78

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Solution

The fourth proportional to 3,524.64, 5,286.12 and 1,332.78 is: 1,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.64 : 5,286.12 = 1,332.78 : x
  2. Step 2: Convert to fraction form
    3,524.64/5,286.12 = 1,332.78/x
  3. Step 3: Cross multiply
    3,524.64x = 5,286.12 × 1,332.78
  4. Step 4: Simplify right side
    3,524.64x = 7,045,235.01
  5. Step 5: Solve for x
    x = 7,045,235.01/3,524.64
  6. Step 6: Final answer
    x = 1,998.85

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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.