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Finding the Fourth Proportional to 5,976.82, 8,960.50 and 2,464.80

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Solution

The fourth proportional to 5,976.82, 8,960.50 and 2,464.80 is: 3,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.82 : 8,960.50 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    5,976.82/8,960.50 = 2,464.80/x
  3. Step 3: Cross multiply
    5,976.82x = 8,960.50 × 2,464.80
  4. Step 4: Simplify right side
    5,976.82x = 22,085,840.40
  5. Step 5: Solve for x
    x = 22,085,840.40/5,976.82
  6. Step 6: Final answer
    x = 3,695.25

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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.