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Finding the Fourth Proportional to 5.89, 8.13 and 3.73

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Solution

The fourth proportional to 5.89, 8.13 and 3.73 is: 5.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.89 : 8.13 = 3.73 : x
  2. Step 2: Convert to fraction form
    5.89/8.13 = 3.73/x
  3. Step 3: Cross multiply
    5.89x = 8.13 × 3.73
  4. Step 4: Simplify right side
    5.89x = 30.32
  5. Step 5: Solve for x
    x = 30.32/5.89
  6. Step 6: Final answer
    x = 5.15

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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.