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Finding the Fourth Proportional to 5.30, 7.97 and 3.80

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Solution

The fourth proportional to 5.30, 7.97 and 3.80 is: 5.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.30 : 7.97 = 3.80 : x
  2. Step 2: Convert to fraction form
    5.30/7.97 = 3.80/x
  3. Step 3: Cross multiply
    5.30x = 7.97 × 3.80
  4. Step 4: Simplify right side
    5.30x = 30.32
  5. Step 5: Solve for x
    x = 30.32/5.30
  6. Step 6: Final answer
    x = 5.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.