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Finding the Fourth Proportional to 3,413.72, 4,711.38 and 2,016.44

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Solution

The fourth proportional to 3,413.72, 4,711.38 and 2,016.44 is: 2,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.72 : 4,711.38 = 2,016.44 : x
  2. Step 2: Convert to fraction form
    3,413.72/4,711.38 = 2,016.44/x
  3. Step 3: Cross multiply
    3,413.72x = 4,711.38 × 2,016.44
  4. Step 4: Simplify right side
    3,413.72x = 9,500,215.09
  5. Step 5: Solve for x
    x = 9,500,215.09/3,413.72
  6. Step 6: Final answer
    x = 2,782.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.