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Finding the Fourth Proportional to 3,608.75, 5,413.43 and 1,011.69

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Solution

The fourth proportional to 3,608.75, 5,413.43 and 1,011.69 is: 1,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.75 : 5,413.43 = 1,011.69 : x
  2. Step 2: Convert to fraction form
    3,608.75/5,413.43 = 1,011.69/x
  3. Step 3: Cross multiply
    3,608.75x = 5,413.43 × 1,011.69
  4. Step 4: Simplify right side
    3,608.75x = 5,476,715.53
  5. Step 5: Solve for x
    x = 5,476,715.53/3,608.75
  6. Step 6: Final answer
    x = 1,517.62

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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.