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Finding the Fourth Proportional to 3,738.56, 5,157.97 and 2,413.14

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Solution

The fourth proportional to 3,738.56, 5,157.97 and 2,413.14 is: 3,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.56 : 5,157.97 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    3,738.56/5,157.97 = 2,413.14/x
  3. Step 3: Cross multiply
    3,738.56x = 5,157.97 × 2,413.14
  4. Step 4: Simplify right side
    3,738.56x = 12,446,897.69
  5. Step 5: Solve for x
    x = 12,446,897.69/3,738.56
  6. Step 6: Final answer
    x = 3,329.33

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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.