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Finding the Fourth Proportional to 3,413.80, 4,711.16 and 2,069.84

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Solution

The fourth proportional to 3,413.80, 4,711.16 and 2,069.84 is: 2,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.80 : 4,711.16 = 2,069.84 : x
  2. Step 2: Convert to fraction form
    3,413.80/4,711.16 = 2,069.84/x
  3. Step 3: Cross multiply
    3,413.80x = 4,711.16 × 2,069.84
  4. Step 4: Simplify right side
    3,413.80x = 9,751,337.07
  5. Step 5: Solve for x
    x = 9,751,337.07/3,413.80
  6. Step 6: Final answer
    x = 2,856.45

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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.