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Finding the Fourth Proportional to 3,472.27, 5,208.41 and 1,524.49

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Solution

The fourth proportional to 3,472.27, 5,208.41 and 1,524.49 is: 2,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.27 : 5,208.41 = 1,524.49 : x
  2. Step 2: Convert to fraction form
    3,472.27/5,208.41 = 1,524.49/x
  3. Step 3: Cross multiply
    3,472.27x = 5,208.41 × 1,524.49
  4. Step 4: Simplify right side
    3,472.27x = 7,940,168.96
  5. Step 5: Solve for x
    x = 7,940,168.96/3,472.27
  6. Step 6: Final answer
    x = 2,286.74

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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.