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Finding the Fourth Proportional to 4,413.76, 6,614.43 and 3,485.23

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Solution

The fourth proportional to 4,413.76, 6,614.43 and 3,485.23 is: 5,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.76 : 6,614.43 = 3,485.23 : x
  2. Step 2: Convert to fraction form
    4,413.76/6,614.43 = 3,485.23/x
  3. Step 3: Cross multiply
    4,413.76x = 6,614.43 × 3,485.23
  4. Step 4: Simplify right side
    4,413.76x = 23,052,809.87
  5. Step 5: Solve for x
    x = 23,052,809.87/4,413.76
  6. Step 6: Final answer
    x = 5,222.94

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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.