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Finding the Fourth Proportional to 5.52, 7.61 and 3.97

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Solution

The fourth proportional to 5.52, 7.61 and 3.97 is: 5.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.52 : 7.61 = 3.97 : x
  2. Step 2: Convert to fraction form
    5.52/7.61 = 3.97/x
  3. Step 3: Cross multiply
    5.52x = 7.61 × 3.97
  4. Step 4: Simplify right side
    5.52x = 30.21
  5. Step 5: Solve for x
    x = 30.21/5.52
  6. Step 6: Final answer
    x = 5.47

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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.