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Finding the Fourth Proportional to 3,608.80, 5,413.20 and 3,407.20

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Solution

The fourth proportional to 3,608.80, 5,413.20 and 3,407.20 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.80 : 5,413.20 = 3,407.20 : x
  2. Step 2: Convert to fraction form
    3,608.80/5,413.20 = 3,407.20/x
  3. Step 3: Cross multiply
    3,608.80x = 5,413.20 × 3,407.20
  4. Step 4: Simplify right side
    3,608.80x = 18,443,855.04
  5. Step 5: Solve for x
    x = 18,443,855.04/3,608.80
  6. Step 6: Final answer
    x = 5,110.80

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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.