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Finding the Fourth Proportional to 3,413.36, 5,115.30 and 1,559.84

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Solution

The fourth proportional to 3,413.36, 5,115.30 and 1,559.84 is: 2,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.36 : 5,115.30 = 1,559.84 : x
  2. Step 2: Convert to fraction form
    3,413.36/5,115.30 = 1,559.84/x
  3. Step 3: Cross multiply
    3,413.36x = 5,115.30 × 1,559.84
  4. Step 4: Simplify right side
    3,413.36x = 7,979,049.55
  5. Step 5: Solve for x
    x = 7,979,049.55/3,413.36
  6. Step 6: Final answer
    x = 2,337.59

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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.