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Finding the Fourth Proportional to 5,413.06, 7,469.67 and 3,054.88

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Solution

The fourth proportional to 5,413.06, 7,469.67 and 3,054.88 is: 4,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.06 : 7,469.67 = 3,054.88 : x
  2. Step 2: Convert to fraction form
    5,413.06/7,469.67 = 3,054.88/x
  3. Step 3: Cross multiply
    5,413.06x = 7,469.67 × 3,054.88
  4. Step 4: Simplify right side
    5,413.06x = 22,818,945.49
  5. Step 5: Solve for x
    x = 22,818,945.49/5,413.06
  6. Step 6: Final answer
    x = 4,215.54

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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.