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Finding the Fourth Proportional to 3,609.62, 5,413.60 and 1,143.98

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Solution

The fourth proportional to 3,609.62, 5,413.60 and 1,143.98 is: 1,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.62 : 5,413.60 = 1,143.98 : x
  2. Step 2: Convert to fraction form
    3,609.62/5,413.60 = 1,143.98/x
  3. Step 3: Cross multiply
    3,609.62x = 5,413.60 × 1,143.98
  4. Step 4: Simplify right side
    3,609.62x = 6,193,050.13
  5. Step 5: Solve for x
    x = 6,193,050.13/3,609.62
  6. Step 6: Final answer
    x = 1,715.71

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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.