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Finding the Fourth Proportional to 3,413.59, 5,119.29 and 1,333.09

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Solution

The fourth proportional to 3,413.59, 5,119.29 and 1,333.09 is: 1,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.59 : 5,119.29 = 1,333.09 : x
  2. Step 2: Convert to fraction form
    3,413.59/5,119.29 = 1,333.09/x
  3. Step 3: Cross multiply
    3,413.59x = 5,119.29 × 1,333.09
  4. Step 4: Simplify right side
    3,413.59x = 6,824,474.31
  5. Step 5: Solve for x
    x = 6,824,474.31/3,413.59
  6. Step 6: Final answer
    x = 1,999.21

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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.