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Finding the Fourth Proportional to 5,651.38, 7,800.96 and 3,413.26

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Solution

The fourth proportional to 5,651.38, 7,800.96 and 3,413.26 is: 4,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.38 : 7,800.96 = 3,413.26 : x
  2. Step 2: Convert to fraction form
    5,651.38/7,800.96 = 3,413.26/x
  3. Step 3: Cross multiply
    5,651.38x = 7,800.96 × 3,413.26
  4. Step 4: Simplify right side
    5,651.38x = 26,626,704.73
  5. Step 5: Solve for x
    x = 26,626,704.73/5,651.38
  6. Step 6: Final answer
    x = 4,711.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.