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Finding the Fourth Proportional to 3,853.38, 5,740.31 and 3,614.34

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Solution

The fourth proportional to 3,853.38, 5,740.31 and 3,614.34 is: 5,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.38 : 5,740.31 = 3,614.34 : x
  2. Step 2: Convert to fraction form
    3,853.38/5,740.31 = 3,614.34/x
  3. Step 3: Cross multiply
    3,853.38x = 5,740.31 × 3,614.34
  4. Step 4: Simplify right side
    3,853.38x = 20,747,413.97
  5. Step 5: Solve for x
    x = 20,747,413.97/3,853.38
  6. Step 6: Final answer
    x = 5,384.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.