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Finding the Fourth Proportional to 3,413.70, 4,709.67 and 2,086.92

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Solution

The fourth proportional to 3,413.70, 4,709.67 and 2,086.92 is: 2,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.70 : 4,709.67 = 2,086.92 : x
  2. Step 2: Convert to fraction form
    3,413.70/4,709.67 = 2,086.92/x
  3. Step 3: Cross multiply
    3,413.70x = 4,709.67 × 2,086.92
  4. Step 4: Simplify right side
    3,413.70x = 9,828,704.52
  5. Step 5: Solve for x
    x = 9,828,704.52/3,413.70
  6. Step 6: Final answer
    x = 2,879.19

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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.