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Finding the Fourth Proportional to 5.82, 7.97 and 5.76

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Solution

The fourth proportional to 5.82, 7.97 and 5.76 is: 7.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 7.97 = 5.76 : x
  2. Step 2: Convert to fraction form
    5.82/7.97 = 5.76/x
  3. Step 3: Cross multiply
    5.82x = 7.97 × 5.76
  4. Step 4: Simplify right side
    5.82x = 45.88
  5. Step 5: Solve for x
    x = 45.88/5.82
  6. Step 6: Final answer
    x = 7.88

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Why These Related Problems?

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