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Finding the Fourth Proportional to 5.49, 8.24 and 3.80

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Solution

The fourth proportional to 5.49, 8.24 and 3.80 is: 5.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.49 : 8.24 = 3.80 : x
  2. Step 2: Convert to fraction form
    5.49/8.24 = 3.80/x
  3. Step 3: Cross multiply
    5.49x = 8.24 × 3.80
  4. Step 4: Simplify right side
    5.49x = 31.31
  5. Step 5: Solve for x
    x = 31.31/5.49
  6. Step 6: Final answer
    x = 5.70

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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.