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Finding the Fourth Proportional to 3.96, 5.46 and 2.88

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Solution

The fourth proportional to 3.96, 5.46 and 2.88 is: 3.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.96 : 5.46 = 2.88 : x
  2. Step 2: Convert to fraction form
    3.96/5.46 = 2.88/x
  3. Step 3: Cross multiply
    3.96x = 5.46 × 2.88
  4. Step 4: Simplify right side
    3.96x = 15.68
  5. Step 5: Solve for x
    x = 15.68/3.96
  6. Step 6: Final answer
    x = 3.97

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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.