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Finding the Fourth Proportional to 4,544.38, 6,815.31 and 1,257.22

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Solution

The fourth proportional to 4,544.38, 6,815.31 and 1,257.22 is: 1,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.38 : 6,815.31 = 1,257.22 : x
  2. Step 2: Convert to fraction form
    4,544.38/6,815.31 = 1,257.22/x
  3. Step 3: Cross multiply
    4,544.38x = 6,815.31 × 1,257.22
  4. Step 4: Simplify right side
    4,544.38x = 8,568,344.04
  5. Step 5: Solve for x
    x = 8,568,344.04/4,544.38
  6. Step 6: Final answer
    x = 1,885.48

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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.