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Finding the Fourth Proportional to 3,608.29, 5,413.04 and 1,268.20

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Solution

The fourth proportional to 3,608.29, 5,413.04 and 1,268.20 is: 1,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.29 : 5,413.04 = 1,268.20 : x
  2. Step 2: Convert to fraction form
    3,608.29/5,413.04 = 1,268.20/x
  3. Step 3: Cross multiply
    3,608.29x = 5,413.04 × 1,268.20
  4. Step 4: Simplify right side
    3,608.29x = 6,864,783.92
  5. Step 5: Solve for x
    x = 6,864,783.92/3,608.29
  6. Step 6: Final answer
    x = 1,902.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.