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Finding the Fourth Proportional to 3,413.62, 5,120.18 and 1,333.23

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Solution

The fourth proportional to 3,413.62, 5,120.18 and 1,333.23 is: 1,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.62 : 5,120.18 = 1,333.23 : x
  2. Step 2: Convert to fraction form
    3,413.62/5,120.18 = 1,333.23/x
  3. Step 3: Cross multiply
    3,413.62x = 5,120.18 × 1,333.23
  4. Step 4: Simplify right side
    3,413.62x = 6,826,377.58
  5. Step 5: Solve for x
    x = 6,826,377.58/3,413.62
  6. Step 6: Final answer
    x = 1,999.75

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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.