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Finding the Fourth Proportional to 6, 8.28 and 3.85

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Solution

The fourth proportional to 6, 8.28 and 3.85 is: 5.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 8.28 = 3.85 : x
  2. Step 2: Convert to fraction form
    6/8.28 = 3.85/x
  3. Step 3: Cross multiply
    6x = 8.28 × 3.85
  4. Step 4: Simplify right side
    6x = 31.88
  5. Step 5: Solve for x
    x = 31.88/6
  6. Step 6: Final answer
    x = 5.31

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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.