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Finding the Fourth Proportional to 3.89, 5.37 and 2.82

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Solution

The fourth proportional to 3.89, 5.37 and 2.82 is: 3.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.89 : 5.37 = 2.82 : x
  2. Step 2: Convert to fraction form
    3.89/5.37 = 2.82/x
  3. Step 3: Cross multiply
    3.89x = 5.37 × 2.82
  4. Step 4: Simplify right side
    3.89x = 15.14
  5. Step 5: Solve for x
    x = 15.14/3.89
  6. Step 6: Final answer
    x = 3.90

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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.