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Finding the Fourth Proportional to 5,846.43, 8,764.44 and 2,147.82

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Solution

The fourth proportional to 5,846.43, 8,764.44 and 2,147.82 is: 3,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.43 : 8,764.44 = 2,147.82 : x
  2. Step 2: Convert to fraction form
    5,846.43/8,764.44 = 2,147.82/x
  3. Step 3: Cross multiply
    5,846.43x = 8,764.44 × 2,147.82
  4. Step 4: Simplify right side
    5,846.43x = 18,824,439.52
  5. Step 5: Solve for x
    x = 18,824,439.52/5,846.43
  6. Step 6: Final answer
    x = 3,219.82

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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.