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Finding the Fourth Proportional to 3,413.94, 5,114.22 and 1,771.56

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Solution

The fourth proportional to 3,413.94, 5,114.22 and 1,771.56 is: 2,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.94 : 5,114.22 = 1,771.56 : x
  2. Step 2: Convert to fraction form
    3,413.94/5,114.22 = 1,771.56/x
  3. Step 3: Cross multiply
    3,413.94x = 5,114.22 × 1,771.56
  4. Step 4: Simplify right side
    3,413.94x = 9,060,147.58
  5. Step 5: Solve for x
    x = 9,060,147.58/3,413.94
  6. Step 6: Final answer
    x = 2,653.87

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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.