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Finding the Fourth Proportional to 5,413.70, 8,126.03 and 3,855.47

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Solution

The fourth proportional to 5,413.70, 8,126.03 and 3,855.47 is: 5,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.70 : 8,126.03 = 3,855.47 : x
  2. Step 2: Convert to fraction form
    5,413.70/8,126.03 = 3,855.47/x
  3. Step 3: Cross multiply
    5,413.70x = 8,126.03 × 3,855.47
  4. Step 4: Simplify right side
    5,413.70x = 31,329,604.98
  5. Step 5: Solve for x
    x = 31,329,604.98/5,413.70
  6. Step 6: Final answer
    x = 5,787.09

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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.