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Finding the Fourth Proportional to 3,624.64, 5,436.96 and 1,027.24

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Solution

The fourth proportional to 3,624.64, 5,436.96 and 1,027.24 is: 1,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.64 : 5,436.96 = 1,027.24 : x
  2. Step 2: Convert to fraction form
    3,624.64/5,436.96 = 1,027.24/x
  3. Step 3: Cross multiply
    3,624.64x = 5,436.96 × 1,027.24
  4. Step 4: Simplify right side
    3,624.64x = 5,585,062.79
  5. Step 5: Solve for x
    x = 5,585,062.79/3,624.64
  6. Step 6: Final answer
    x = 1,540.86

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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.