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Finding the Fourth Proportional to 5,967, 8,952.84 and 2,270.21

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Solution

The fourth proportional to 5,967, 8,952.84 and 2,270.21 is: 3,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967 : 8,952.84 = 2,270.21 : x
  2. Step 2: Convert to fraction form
    5,967/8,952.84 = 2,270.21/x
  3. Step 3: Cross multiply
    5,967x = 8,952.84 × 2,270.21
  4. Step 4: Simplify right side
    5,967x = 20,324,782.13
  5. Step 5: Solve for x
    x = 20,324,782.13/5,967
  6. Step 6: Final answer
    x = 3,406.20

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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.