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Finding the Fourth Proportional to 3,413.77, 5,117.46 and 3,109.44

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Solution

The fourth proportional to 3,413.77, 5,117.46 and 3,109.44 is: 4,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.77 : 5,117.46 = 3,109.44 : x
  2. Step 2: Convert to fraction form
    3,413.77/5,117.46 = 3,109.44/x
  3. Step 3: Cross multiply
    3,413.77x = 5,117.46 × 3,109.44
  4. Step 4: Simplify right side
    3,413.77x = 15,912,434.82
  5. Step 5: Solve for x
    x = 15,912,434.82/3,413.77
  6. Step 6: Final answer
    x = 4,661.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.