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Finding the Fourth Proportional to 4,494.96, 6,735.42 and 3,398.49

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Solution

The fourth proportional to 4,494.96, 6,735.42 and 3,398.49 is: 5,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.96 : 6,735.42 = 3,398.49 : x
  2. Step 2: Convert to fraction form
    4,494.96/6,735.42 = 3,398.49/x
  3. Step 3: Cross multiply
    4,494.96x = 6,735.42 × 3,398.49
  4. Step 4: Simplify right side
    4,494.96x = 22,890,257.52
  5. Step 5: Solve for x
    x = 22,890,257.52/4,494.96
  6. Step 6: Final answer
    x = 5,092.43

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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.