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Finding the Fourth Proportional to 3,413.93, 4,709.50 and 1,996.69

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Solution

The fourth proportional to 3,413.93, 4,709.50 and 1,996.69 is: 2,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.93 : 4,709.50 = 1,996.69 : x
  2. Step 2: Convert to fraction form
    3,413.93/4,709.50 = 1,996.69/x
  3. Step 3: Cross multiply
    3,413.93x = 4,709.50 × 1,996.69
  4. Step 4: Simplify right side
    3,413.93x = 9,403,411.56
  5. Step 5: Solve for x
    x = 9,403,411.56/3,413.93
  6. Step 6: Final answer
    x = 2,754.42

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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.