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Finding the Fourth Proportional to 3,394.86, 5,092.83 and 1,447.08

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Solution

The fourth proportional to 3,394.86, 5,092.83 and 1,447.08 is: 2,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.86 : 5,092.83 = 1,447.08 : x
  2. Step 2: Convert to fraction form
    3,394.86/5,092.83 = 1,447.08/x
  3. Step 3: Cross multiply
    3,394.86x = 5,092.83 × 1,447.08
  4. Step 4: Simplify right side
    3,394.86x = 7,369,732.44
  5. Step 5: Solve for x
    x = 7,369,732.44/3,394.86
  6. Step 6: Final answer
    x = 2,170.85

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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.