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Finding the Fourth Proportional to 3,892.38, 5,370.75 and 2,320.62

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Solution

The fourth proportional to 3,892.38, 5,370.75 and 2,320.62 is: 3,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.38 : 5,370.75 = 2,320.62 : x
  2. Step 2: Convert to fraction form
    3,892.38/5,370.75 = 2,320.62/x
  3. Step 3: Cross multiply
    3,892.38x = 5,370.75 × 2,320.62
  4. Step 4: Simplify right side
    3,892.38x = 12,463,469.87
  5. Step 5: Solve for x
    x = 12,463,469.87/3,892.38
  6. Step 6: Final answer
    x = 3,202.02

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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.