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Finding the Fourth Proportional to 5,976.80, 8,962.16 and 2,276.24

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Solution

The fourth proportional to 5,976.80, 8,962.16 and 2,276.24 is: 3,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.80 : 8,962.16 = 2,276.24 : x
  2. Step 2: Convert to fraction form
    5,976.80/8,962.16 = 2,276.24/x
  3. Step 3: Cross multiply
    5,976.80x = 8,962.16 × 2,276.24
  4. Step 4: Simplify right side
    5,976.80x = 20,400,027.08
  5. Step 5: Solve for x
    x = 20,400,027.08/5,976.80
  6. Step 6: Final answer
    x = 3,413.20

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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.