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Finding the Fourth Proportional to 3,413.67, 5,118.15 and 1,744.56

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Solution

The fourth proportional to 3,413.67, 5,118.15 and 1,744.56 is: 2,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.67 : 5,118.15 = 1,744.56 : x
  2. Step 2: Convert to fraction form
    3,413.67/5,118.15 = 1,744.56/x
  3. Step 3: Cross multiply
    3,413.67x = 5,118.15 × 1,744.56
  4. Step 4: Simplify right side
    3,413.67x = 8,928,919.76
  5. Step 5: Solve for x
    x = 8,928,919.76/3,413.67
  6. Step 6: Final answer
    x = 2,615.64

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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.