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Finding the Fourth Proportional to 3,474.69, 5,211.62 and 1,394.61

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Solution

The fourth proportional to 3,474.69, 5,211.62 and 1,394.61 is: 2,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.69 : 5,211.62 = 1,394.61 : x
  2. Step 2: Convert to fraction form
    3,474.69/5,211.62 = 1,394.61/x
  3. Step 3: Cross multiply
    3,474.69x = 5,211.62 × 1,394.61
  4. Step 4: Simplify right side
    3,474.69x = 7,268,170.40
  5. Step 5: Solve for x
    x = 7,268,170.40/3,474.69
  6. Step 6: Final answer
    x = 2,091.75

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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.