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Finding the Fourth Proportional to 4,091.87, 5,647.20 and 2,413.82

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Solution

The fourth proportional to 4,091.87, 5,647.20 and 2,413.82 is: 3,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.87 : 5,647.20 = 2,413.82 : x
  2. Step 2: Convert to fraction form
    4,091.87/5,647.20 = 2,413.82/x
  3. Step 3: Cross multiply
    4,091.87x = 5,647.20 × 2,413.82
  4. Step 4: Simplify right side
    4,091.87x = 13,631,324.30
  5. Step 5: Solve for x
    x = 13,631,324.30/4,091.87
  6. Step 6: Final answer
    x = 3,331.32

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