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Finding the Fourth Proportional to 5.98, 8.24 and 3.55

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Solution

The fourth proportional to 5.98, 8.24 and 3.55 is: 4.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.98 : 8.24 = 3.55 : x
  2. Step 2: Convert to fraction form
    5.98/8.24 = 3.55/x
  3. Step 3: Cross multiply
    5.98x = 8.24 × 3.55
  4. Step 4: Simplify right side
    5.98x = 29.21
  5. Step 5: Solve for x
    x = 29.21/5.98
  6. Step 6: Final answer
    x = 4.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.