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Finding the Fourth Proportional to 3,923.60, 5,413.76 and 2,744.24

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Solution

The fourth proportional to 3,923.60, 5,413.76 and 2,744.24 is: 3,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.60 : 5,413.76 = 2,744.24 : x
  2. Step 2: Convert to fraction form
    3,923.60/5,413.76 = 2,744.24/x
  3. Step 3: Cross multiply
    3,923.60x = 5,413.76 × 2,744.24
  4. Step 4: Simplify right side
    3,923.60x = 14,856,656.74
  5. Step 5: Solve for x
    x = 14,856,656.74/3,923.60
  6. Step 6: Final answer
    x = 3,786.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.