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Finding the Fourth Proportional to 3,394.32, 5,086.83 and 1,747.38

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Solution

The fourth proportional to 3,394.32, 5,086.83 and 1,747.38 is: 2,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.32 : 5,086.83 = 1,747.38 : x
  2. Step 2: Convert to fraction form
    3,394.32/5,086.83 = 1,747.38/x
  3. Step 3: Cross multiply
    3,394.32x = 5,086.83 × 1,747.38
  4. Step 4: Simplify right side
    3,394.32x = 8,888,625.01
  5. Step 5: Solve for x
    x = 8,888,625.01/3,394.32
  6. Step 6: Final answer
    x = 2,618.68

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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.