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Finding the Fourth Proportional to 3.98, 5.49 and 3.83

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Solution

The fourth proportional to 3.98, 5.49 and 3.83 is: 5.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.98 : 5.49 = 3.83 : x
  2. Step 2: Convert to fraction form
    3.98/5.49 = 3.83/x
  3. Step 3: Cross multiply
    3.98x = 5.49 × 3.83
  4. Step 4: Simplify right side
    3.98x = 21.00
  5. Step 5: Solve for x
    x = 21.00/3.98
  6. Step 6: Final answer
    x = 5.27

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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.