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Finding the Fourth Proportional to 3,879.10, 5,815.02 and 1,413.30

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Solution

The fourth proportional to 3,879.10, 5,815.02 and 1,413.30 is: 2,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.10 : 5,815.02 = 1,413.30 : x
  2. Step 2: Convert to fraction form
    3,879.10/5,815.02 = 1,413.30/x
  3. Step 3: Cross multiply
    3,879.10x = 5,815.02 × 1,413.30
  4. Step 4: Simplify right side
    3,879.10x = 8,218,367.77
  5. Step 5: Solve for x
    x = 8,218,367.77/3,879.10
  6. Step 6: Final answer
    x = 2,118.63

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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.