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Finding the Fourth Proportional to 3,608.87, 5,413.56 and 1,143.86

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Solution

The fourth proportional to 3,608.87, 5,413.56 and 1,143.86 is: 1,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.87 : 5,413.56 = 1,143.86 : x
  2. Step 2: Convert to fraction form
    3,608.87/5,413.56 = 1,143.86/x
  3. Step 3: Cross multiply
    3,608.87x = 5,413.56 × 1,143.86
  4. Step 4: Simplify right side
    3,608.87x = 6,192,327.67
  5. Step 5: Solve for x
    x = 6,192,327.67/3,608.87
  6. Step 6: Final answer
    x = 1,715.87

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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.