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Finding the Fourth Proportional to 3,449.39, 5,174.56 and 1,108.84

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Solution

The fourth proportional to 3,449.39, 5,174.56 and 1,108.84 is: 1,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.39 : 5,174.56 = 1,108.84 : x
  2. Step 2: Convert to fraction form
    3,449.39/5,174.56 = 1,108.84/x
  3. Step 3: Cross multiply
    3,449.39x = 5,174.56 × 1,108.84
  4. Step 4: Simplify right side
    3,449.39x = 5,737,766.96
  5. Step 5: Solve for x
    x = 5,737,766.96/3,449.39
  6. Step 6: Final answer
    x = 1,663.41

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