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Finding the Fourth Proportional to 3,413.82, 4,710.89 and 1,921.69

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Solution

The fourth proportional to 3,413.82, 4,710.89 and 1,921.69 is: 2,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.82 : 4,710.89 = 1,921.69 : x
  2. Step 2: Convert to fraction form
    3,413.82/4,710.89 = 1,921.69/x
  3. Step 3: Cross multiply
    3,413.82x = 4,710.89 × 1,921.69
  4. Step 4: Simplify right side
    3,413.82x = 9,052,863.23
  5. Step 5: Solve for x
    x = 9,052,863.23/3,413.82
  6. Step 6: Final answer
    x = 2,651.83

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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.