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Finding the Fourth Proportional to 4,509.06, 6,766.02 and 3,413.13

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Solution

The fourth proportional to 4,509.06, 6,766.02 and 3,413.13 is: 5,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.06 : 6,766.02 = 3,413.13 : x
  2. Step 2: Convert to fraction form
    4,509.06/6,766.02 = 3,413.13/x
  3. Step 3: Cross multiply
    4,509.06x = 6,766.02 × 3,413.13
  4. Step 4: Simplify right side
    4,509.06x = 23,093,305.84
  5. Step 5: Solve for x
    x = 23,093,305.84/4,509.06
  6. Step 6: Final answer
    x = 5,121.53

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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.