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Finding the Fourth Proportional to 3,786.63, 5,672.79 and 2,144.36

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Solution

The fourth proportional to 3,786.63, 5,672.79 and 2,144.36 is: 3,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.63 : 5,672.79 = 2,144.36 : x
  2. Step 2: Convert to fraction form
    3,786.63/5,672.79 = 2,144.36/x
  3. Step 3: Cross multiply
    3,786.63x = 5,672.79 × 2,144.36
  4. Step 4: Simplify right side
    3,786.63x = 12,164,475.60
  5. Step 5: Solve for x
    x = 12,164,475.60/3,786.63
  6. Step 6: Final answer
    x = 3,212.48

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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.