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Finding the Fourth Proportional to 4,647.81, 6,413.07 and 2,761.06

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Solution

The fourth proportional to 4,647.81, 6,413.07 and 2,761.06 is: 3,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.81 : 6,413.07 = 2,761.06 : x
  2. Step 2: Convert to fraction form
    4,647.81/6,413.07 = 2,761.06/x
  3. Step 3: Cross multiply
    4,647.81x = 6,413.07 × 2,761.06
  4. Step 4: Simplify right side
    4,647.81x = 17,706,895.44
  5. Step 5: Solve for x
    x = 17,706,895.44/4,647.81
  6. Step 6: Final answer
    x = 3,809.73

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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.