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Finding the Fourth Proportional to 4.14, 6.17 and 3.82

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Solution

The fourth proportional to 4.14, 6.17 and 3.82 is: 5.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.14 : 6.17 = 3.82 : x
  2. Step 2: Convert to fraction form
    4.14/6.17 = 3.82/x
  3. Step 3: Cross multiply
    4.14x = 6.17 × 3.82
  4. Step 4: Simplify right side
    4.14x = 23.54
  5. Step 5: Solve for x
    x = 23.54/4.14
  6. Step 6: Final answer
    x = 5.69

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Why These Related Problems?

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