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Finding the Fourth Proportional to 3,608.40, 5,413.14 and 1,528.40

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Solution

The fourth proportional to 3,608.40, 5,413.14 and 1,528.40 is: 2,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.40 : 5,413.14 = 1,528.40 : x
  2. Step 2: Convert to fraction form
    3,608.40/5,413.14 = 1,528.40/x
  3. Step 3: Cross multiply
    3,608.40x = 5,413.14 × 1,528.40
  4. Step 4: Simplify right side
    3,608.40x = 8,273,443.18
  5. Step 5: Solve for x
    x = 8,273,443.18/3,608.40
  6. Step 6: Final answer
    x = 2,292.83

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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.