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Finding the Fourth Proportional to 3,227.57, 4,843.51 and 1,175.57

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Solution

The fourth proportional to 3,227.57, 4,843.51 and 1,175.57 is: 1,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.57 : 4,843.51 = 1,175.57 : x
  2. Step 2: Convert to fraction form
    3,227.57/4,843.51 = 1,175.57/x
  3. Step 3: Cross multiply
    3,227.57x = 4,843.51 × 1,175.57
  4. Step 4: Simplify right side
    3,227.57x = 5,693,885.05
  5. Step 5: Solve for x
    x = 5,693,885.05/3,227.57
  6. Step 6: Final answer
    x = 1,764.14

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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.