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Finding the Fourth Proportional to 5,616.50, 8,413.79 and 3,419.78

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Solution

The fourth proportional to 5,616.50, 8,413.79 and 3,419.78 is: 5,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.50 : 8,413.79 = 3,419.78 : x
  2. Step 2: Convert to fraction form
    5,616.50/8,413.79 = 3,419.78/x
  3. Step 3: Cross multiply
    5,616.50x = 8,413.79 × 3,419.78
  4. Step 4: Simplify right side
    5,616.50x = 28,773,251.60
  5. Step 5: Solve for x
    x = 28,773,251.60/5,616.50
  6. Step 6: Final answer
    x = 5,122.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.