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Finding the Fourth Proportional to 3,002.54, 4,141.67 and 2,791.40

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Solution

The fourth proportional to 3,002.54, 4,141.67 and 2,791.40 is: 3,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.54 : 4,141.67 = 2,791.40 : x
  2. Step 2: Convert to fraction form
    3,002.54/4,141.67 = 2,791.40/x
  3. Step 3: Cross multiply
    3,002.54x = 4,141.67 × 2,791.40
  4. Step 4: Simplify right side
    3,002.54x = 11,561,022.97
  5. Step 5: Solve for x
    x = 11,561,022.97/3,002.54
  6. Step 6: Final answer
    x = 3,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.