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Finding the Fourth Proportional to 3,413.73, 4,709.37 and 2,468.03

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Solution

The fourth proportional to 3,413.73, 4,709.37 and 2,468.03 is: 3,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.73 : 4,709.37 = 2,468.03 : x
  2. Step 2: Convert to fraction form
    3,413.73/4,709.37 = 2,468.03/x
  3. Step 3: Cross multiply
    3,413.73x = 4,709.37 × 2,468.03
  4. Step 4: Simplify right side
    3,413.73x = 11,622,842.89
  5. Step 5: Solve for x
    x = 11,622,842.89/3,413.73
  6. Step 6: Final answer
    x = 3,404.73

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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.