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Finding the Fourth Proportional to 3,936.69, 5,906.07 and 2,294.64

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Solution

The fourth proportional to 3,936.69, 5,906.07 and 2,294.64 is: 3,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.69 : 5,906.07 = 2,294.64 : x
  2. Step 2: Convert to fraction form
    3,936.69/5,906.07 = 2,294.64/x
  3. Step 3: Cross multiply
    3,936.69x = 5,906.07 × 2,294.64
  4. Step 4: Simplify right side
    3,936.69x = 13,552,304.46
  5. Step 5: Solve for x
    x = 13,552,304.46/3,936.69
  6. Step 6: Final answer
    x = 3,442.56

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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.