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Finding the Fourth Proportional to 3.95, 5.46 and 2.74

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Solution

The fourth proportional to 3.95, 5.46 and 2.74 is: 3.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.95 : 5.46 = 2.74 : x
  2. Step 2: Convert to fraction form
    3.95/5.46 = 2.74/x
  3. Step 3: Cross multiply
    3.95x = 5.46 × 2.74
  4. Step 4: Simplify right side
    3.95x = 14.96
  5. Step 5: Solve for x
    x = 14.96/3.95
  6. Step 6: Final answer
    x = 3.79

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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.