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Finding the Fourth Proportional to 3,624.27, 5,436.60 and 1,027

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Solution

The fourth proportional to 3,624.27, 5,436.60 and 1,027 is: 1,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.27 : 5,436.60 = 1,027 : x
  2. Step 2: Convert to fraction form
    3,624.27/5,436.60 = 1,027/x
  3. Step 3: Cross multiply
    3,624.27x = 5,436.60 × 1,027
  4. Step 4: Simplify right side
    3,624.27x = 5,583,388.20
  5. Step 5: Solve for x
    x = 5,583,388.20/3,624.27
  6. Step 6: Final answer
    x = 1,540.56

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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.