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Finding the Fourth Proportional to 4.62, 6.41 and 4.22

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Solution

The fourth proportional to 4.62, 6.41 and 4.22 is: 5.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 6.41 = 4.22 : x
  2. Step 2: Convert to fraction form
    4.62/6.41 = 4.22/x
  3. Step 3: Cross multiply
    4.62x = 6.41 × 4.22
  4. Step 4: Simplify right side
    4.62x = 27.05
  5. Step 5: Solve for x
    x = 27.05/4.62
  6. Step 6: Final answer
    x = 5.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.