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Finding the Fourth Proportional to 3,778.38, 5,667.77 and 2,679.61

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Solution

The fourth proportional to 3,778.38, 5,667.77 and 2,679.61 is: 4,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.38 : 5,667.77 = 2,679.61 : x
  2. Step 2: Convert to fraction form
    3,778.38/5,667.77 = 2,679.61/x
  3. Step 3: Cross multiply
    3,778.38x = 5,667.77 × 2,679.61
  4. Step 4: Simplify right side
    3,778.38x = 15,187,413.17
  5. Step 5: Solve for x
    x = 15,187,413.17/3,778.38
  6. Step 6: Final answer
    x = 4,019.56

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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.