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Finding the Fourth Proportional to 3,394.34, 5,092.77 and 1,086.02

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Solution

The fourth proportional to 3,394.34, 5,092.77 and 1,086.02 is: 1,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.34 : 5,092.77 = 1,086.02 : x
  2. Step 2: Convert to fraction form
    3,394.34/5,092.77 = 1,086.02/x
  3. Step 3: Cross multiply
    3,394.34x = 5,092.77 × 1,086.02
  4. Step 4: Simplify right side
    3,394.34x = 5,530,850.08
  5. Step 5: Solve for x
    x = 5,530,850.08/3,394.34
  6. Step 6: Final answer
    x = 1,629.43

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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.