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Finding the Fourth Proportional to 5,976.57, 8,960.13 and 2,464.55

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Solution

The fourth proportional to 5,976.57, 8,960.13 and 2,464.55 is: 3,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.57 : 8,960.13 = 2,464.55 : x
  2. Step 2: Convert to fraction form
    5,976.57/8,960.13 = 2,464.55/x
  3. Step 3: Cross multiply
    5,976.57x = 8,960.13 × 2,464.55
  4. Step 4: Simplify right side
    5,976.57x = 22,082,643.59
  5. Step 5: Solve for x
    x = 22,082,643.59/5,976.57
  6. Step 6: Final answer
    x = 3,694.87

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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.