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Finding the Fourth Proportional to 3,768.70, 5,653.05 and 3,608.73

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Solution

The fourth proportional to 3,768.70, 5,653.05 and 3,608.73 is: 5,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.70 : 5,653.05 = 3,608.73 : x
  2. Step 2: Convert to fraction form
    3,768.70/5,653.05 = 3,608.73/x
  3. Step 3: Cross multiply
    3,768.70x = 5,653.05 × 3,608.73
  4. Step 4: Simplify right side
    3,768.70x = 20,400,331.13
  5. Step 5: Solve for x
    x = 20,400,331.13/3,768.70
  6. Step 6: Final answer
    x = 5,413.10

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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.