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Finding the Fourth Proportional to 3,413.96, 5,120.22 and 1,333.88

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Solution

The fourth proportional to 3,413.96, 5,120.22 and 1,333.88 is: 2,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.96 : 5,120.22 = 1,333.88 : x
  2. Step 2: Convert to fraction form
    3,413.96/5,120.22 = 1,333.88/x
  3. Step 3: Cross multiply
    3,413.96x = 5,120.22 × 1,333.88
  4. Step 4: Simplify right side
    3,413.96x = 6,829,759.05
  5. Step 5: Solve for x
    x = 6,829,759.05/3,413.96
  6. Step 6: Final answer
    x = 2,000.54

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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.