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Finding the Fourth Proportional to 3,413.90, 5,120.84 and 1,074.11

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Solution

The fourth proportional to 3,413.90, 5,120.84 and 1,074.11 is: 1,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.90 : 5,120.84 = 1,074.11 : x
  2. Step 2: Convert to fraction form
    3,413.90/5,120.84 = 1,074.11/x
  3. Step 3: Cross multiply
    3,413.90x = 5,120.84 × 1,074.11
  4. Step 4: Simplify right side
    3,413.90x = 5,500,322.53
  5. Step 5: Solve for x
    x = 5,500,322.53/3,413.90
  6. Step 6: Final answer
    x = 1,611.15

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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.