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Finding the Fourth Proportional to 5,413.80, 7,471.04 and 3,055.92

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Solution

The fourth proportional to 5,413.80, 7,471.04 and 3,055.92 is: 4,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.80 : 7,471.04 = 3,055.92 : x
  2. Step 2: Convert to fraction form
    5,413.80/7,471.04 = 3,055.92/x
  3. Step 3: Cross multiply
    5,413.80x = 7,471.04 × 3,055.92
  4. Step 4: Simplify right side
    5,413.80x = 22,830,900.56
  5. Step 5: Solve for x
    x = 22,830,900.56/5,413.80
  6. Step 6: Final answer
    x = 4,217.17

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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.