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Finding the Fourth Proportional to 3.97, 5.92 and 3.92

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Solution

The fourth proportional to 3.97, 5.92 and 3.92 is: 5.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 5.92 = 3.92 : x
  2. Step 2: Convert to fraction form
    3.97/5.92 = 3.92/x
  3. Step 3: Cross multiply
    3.97x = 5.92 × 3.92
  4. Step 4: Simplify right side
    3.97x = 23.24
  5. Step 5: Solve for x
    x = 23.24/3.97
  6. Step 6: Final answer
    x = 5.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.