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Finding the Fourth Proportional to 5,413.88, 7,471.20 and 3,056.04

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Solution

The fourth proportional to 5,413.88, 7,471.20 and 3,056.04 is: 4,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.88 : 7,471.20 = 3,056.04 : x
  2. Step 2: Convert to fraction form
    5,413.88/7,471.20 = 3,056.04/x
  3. Step 3: Cross multiply
    5,413.88x = 7,471.20 × 3,056.04
  4. Step 4: Simplify right side
    5,413.88x = 22,832,286.05
  5. Step 5: Solve for x
    x = 22,832,286.05/5,413.88
  6. Step 6: Final answer
    x = 4,217.36

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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.