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Finding the Fourth Proportional to 3,413.58, 4,709.07 and 2,084.99

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Solution

The fourth proportional to 3,413.58, 4,709.07 and 2,084.99 is: 2,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.58 : 4,709.07 = 2,084.99 : x
  2. Step 2: Convert to fraction form
    3,413.58/4,709.07 = 2,084.99/x
  3. Step 3: Cross multiply
    3,413.58x = 4,709.07 × 2,084.99
  4. Step 4: Simplify right side
    3,413.58x = 9,818,340.31
  5. Step 5: Solve for x
    x = 9,818,340.31/3,413.58
  6. Step 6: Final answer
    x = 2,876.26

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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.