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Finding the Fourth Proportional to 4.62, 6.34 and 4.27

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Solution

The fourth proportional to 4.62, 6.34 and 4.27 is: 5.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 6.34 = 4.27 : x
  2. Step 2: Convert to fraction form
    4.62/6.34 = 4.27/x
  3. Step 3: Cross multiply
    4.62x = 6.34 × 4.27
  4. Step 4: Simplify right side
    4.62x = 27.07
  5. Step 5: Solve for x
    x = 27.07/4.62
  6. Step 6: Final answer
    x = 5.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.