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Finding the Fourth Proportional to 3,611.90, 5,413.94 and 1,760.92

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Solution

The fourth proportional to 3,611.90, 5,413.94 and 1,760.92 is: 2,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.90 : 5,413.94 = 1,760.92 : x
  2. Step 2: Convert to fraction form
    3,611.90/5,413.94 = 1,760.92/x
  3. Step 3: Cross multiply
    3,611.90x = 5,413.94 × 1,760.92
  4. Step 4: Simplify right side
    3,611.90x = 9,533,515.22
  5. Step 5: Solve for x
    x = 9,533,515.22/3,611.90
  6. Step 6: Final answer
    x = 2,639.47

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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.