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Finding the Fourth Proportional to 3,413.79, 5,122.67 and 1,439.30

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Solution

The fourth proportional to 3,413.79, 5,122.67 and 1,439.30 is: 2,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.79 : 5,122.67 = 1,439.30 : x
  2. Step 2: Convert to fraction form
    3,413.79/5,122.67 = 1,439.30/x
  3. Step 3: Cross multiply
    3,413.79x = 5,122.67 × 1,439.30
  4. Step 4: Simplify right side
    3,413.79x = 7,373,036.92
  5. Step 5: Solve for x
    x = 7,373,036.92/3,413.79
  6. Step 6: Final answer
    x = 2,159.78

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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.