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Finding the Fourth Proportional to 3,294.97, 4,542.33 and 2,349.12

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Solution

The fourth proportional to 3,294.97, 4,542.33 and 2,349.12 is: 3,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.97 : 4,542.33 = 2,349.12 : x
  2. Step 2: Convert to fraction form
    3,294.97/4,542.33 = 2,349.12/x
  3. Step 3: Cross multiply
    3,294.97x = 4,542.33 × 2,349.12
  4. Step 4: Simplify right side
    3,294.97x = 10,670,458.72
  5. Step 5: Solve for x
    x = 10,670,458.72/3,294.97
  6. Step 6: Final answer
    x = 3,238.41

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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.