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Finding the Fourth Proportional to 4,273.80, 6,413.94 and 2,883.84

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Solution

The fourth proportional to 4,273.80, 6,413.94 and 2,883.84 is: 4,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.80 : 6,413.94 = 2,883.84 : x
  2. Step 2: Convert to fraction form
    4,273.80/6,413.94 = 2,883.84/x
  3. Step 3: Cross multiply
    4,273.80x = 6,413.94 × 2,883.84
  4. Step 4: Simplify right side
    4,273.80x = 18,496,776.73
  5. Step 5: Solve for x
    x = 18,496,776.73/4,273.80
  6. Step 6: Final answer
    x = 4,327.95

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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.