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Finding the Fourth Proportional to 3,786.54, 5,675.21 and 2,027.22

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Solution

The fourth proportional to 3,786.54, 5,675.21 and 2,027.22 is: 3,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.54 : 5,675.21 = 2,027.22 : x
  2. Step 2: Convert to fraction form
    3,786.54/5,675.21 = 2,027.22/x
  3. Step 3: Cross multiply
    3,786.54x = 5,675.21 × 2,027.22
  4. Step 4: Simplify right side
    3,786.54x = 11,504,889.08
  5. Step 5: Solve for x
    x = 11,504,889.08/3,786.54
  6. Step 6: Final answer
    x = 3,038.36

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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.