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Finding the Fourth Proportional to 3,243.82, 4,866.42 and 1,052.38

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Solution

The fourth proportional to 3,243.82, 4,866.42 and 1,052.38 is: 1,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.82 : 4,866.42 = 1,052.38 : x
  2. Step 2: Convert to fraction form
    3,243.82/4,866.42 = 1,052.38/x
  3. Step 3: Cross multiply
    3,243.82x = 4,866.42 × 1,052.38
  4. Step 4: Simplify right side
    3,243.82x = 5,121,306.97
  5. Step 5: Solve for x
    x = 5,121,306.97/3,243.82
  6. Step 6: Final answer
    x = 1,578.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.