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Finding the Fourth Proportional to 3,413.99, 4,711.50 and 2,087.31

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Solution

The fourth proportional to 3,413.99, 4,711.50 and 2,087.31 is: 2,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.99 : 4,711.50 = 2,087.31 : x
  2. Step 2: Convert to fraction form
    3,413.99/4,711.50 = 2,087.31/x
  3. Step 3: Cross multiply
    3,413.99x = 4,711.50 × 2,087.31
  4. Step 4: Simplify right side
    3,413.99x = 9,834,361.07
  5. Step 5: Solve for x
    x = 9,834,361.07/3,413.99
  6. Step 6: Final answer
    x = 2,880.61

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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.