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Finding the Fourth Proportional to 3,879.57, 5,819.34 and 1,413.38

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Solution

The fourth proportional to 3,879.57, 5,819.34 and 1,413.38 is: 2,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.57 : 5,819.34 = 1,413.38 : x
  2. Step 2: Convert to fraction form
    3,879.57/5,819.34 = 1,413.38/x
  3. Step 3: Cross multiply
    3,879.57x = 5,819.34 × 1,413.38
  4. Step 4: Simplify right side
    3,879.57x = 8,224,909.67
  5. Step 5: Solve for x
    x = 8,224,909.67/3,879.57
  6. Step 6: Final answer
    x = 2,120.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.