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Finding the Fourth Proportional to 3,838.16, 5,757.23 and 1,205.86

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Solution

The fourth proportional to 3,838.16, 5,757.23 and 1,205.86 is: 1,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.16 : 5,757.23 = 1,205.86 : x
  2. Step 2: Convert to fraction form
    3,838.16/5,757.23 = 1,205.86/x
  3. Step 3: Cross multiply
    3,838.16x = 5,757.23 × 1,205.86
  4. Step 4: Simplify right side
    3,838.16x = 6,942,413.37
  5. Step 5: Solve for x
    x = 6,942,413.37/3,838.16
  6. Step 6: Final answer
    x = 1,808.79

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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.