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Finding the Fourth Proportional to 3,413.61, 4,709.94 and 2,086.83

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Solution

The fourth proportional to 3,413.61, 4,709.94 and 2,086.83 is: 2,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.61 : 4,709.94 = 2,086.83 : x
  2. Step 2: Convert to fraction form
    3,413.61/4,709.94 = 2,086.83/x
  3. Step 3: Cross multiply
    3,413.61x = 4,709.94 × 2,086.83
  4. Step 4: Simplify right side
    3,413.61x = 9,828,844.09
  5. Step 5: Solve for x
    x = 9,828,844.09/3,413.61
  6. Step 6: Final answer
    x = 2,879.31

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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.