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Finding the Fourth Proportional to 5,413.80, 7,472.04 and 3,056.64

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Solution

The fourth proportional to 5,413.80, 7,472.04 and 3,056.64 is: 4,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.80 : 7,472.04 = 3,056.64 : x
  2. Step 2: Convert to fraction form
    5,413.80/7,472.04 = 3,056.64/x
  3. Step 3: Cross multiply
    5,413.80x = 7,472.04 × 3,056.64
  4. Step 4: Simplify right side
    5,413.80x = 22,839,336.35
  5. Step 5: Solve for x
    x = 22,839,336.35/5,413.80
  6. Step 6: Final answer
    x = 4,218.73

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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.