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Finding the Fourth Proportional to 5,413.40, 8,122.80 and 3,075.20

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Solution

The fourth proportional to 5,413.40, 8,122.80 and 3,075.20 is: 4,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.40 : 8,122.80 = 3,075.20 : x
  2. Step 2: Convert to fraction form
    5,413.40/8,122.80 = 3,075.20/x
  3. Step 3: Cross multiply
    5,413.40x = 8,122.80 × 3,075.20
  4. Step 4: Simplify right side
    5,413.40x = 24,979,234.56
  5. Step 5: Solve for x
    x = 24,979,234.56/5,413.40
  6. Step 6: Final answer
    x = 4,614.33

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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.