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Finding the Fourth Proportional to 3,611.84, 5,413.42 and 1,300.64

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Solution

The fourth proportional to 3,611.84, 5,413.42 and 1,300.64 is: 1,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.84 : 5,413.42 = 1,300.64 : x
  2. Step 2: Convert to fraction form
    3,611.84/5,413.42 = 1,300.64/x
  3. Step 3: Cross multiply
    3,611.84x = 5,413.42 × 1,300.64
  4. Step 4: Simplify right side
    3,611.84x = 7,040,910.59
  5. Step 5: Solve for x
    x = 7,040,910.59/3,611.84
  6. Step 6: Final answer
    x = 1,949.40

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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.