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Finding the Fourth Proportional to 5,413.52, 8,122.76 and 2,944.64

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Solution

The fourth proportional to 5,413.52, 8,122.76 and 2,944.64 is: 4,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.52 : 8,122.76 = 2,944.64 : x
  2. Step 2: Convert to fraction form
    5,413.52/8,122.76 = 2,944.64/x
  3. Step 3: Cross multiply
    5,413.52x = 8,122.76 × 2,944.64
  4. Step 4: Simplify right side
    5,413.52x = 23,918,604.01
  5. Step 5: Solve for x
    x = 23,918,604.01/5,413.52
  6. Step 6: Final answer
    x = 4,418.31

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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.