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Finding the Fourth Proportional to 3,413.74, 5,120.60 and 2,441.74

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Solution

The fourth proportional to 3,413.74, 5,120.60 and 2,441.74 is: 3,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.74 : 5,120.60 = 2,441.74 : x
  2. Step 2: Convert to fraction form
    3,413.74/5,120.60 = 2,441.74/x
  3. Step 3: Cross multiply
    3,413.74x = 5,120.60 × 2,441.74
  4. Step 4: Simplify right side
    3,413.74x = 12,503,173.84
  5. Step 5: Solve for x
    x = 12,503,173.84/3,413.74
  6. Step 6: Final answer
    x = 3,662.60

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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.