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Finding the Fourth Proportional to 3,786.68, 5,667.90 and 2,027.30

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Solution

The fourth proportional to 3,786.68, 5,667.90 and 2,027.30 is: 3,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.68 : 5,667.90 = 2,027.30 : x
  2. Step 2: Convert to fraction form
    3,786.68/5,667.90 = 2,027.30/x
  3. Step 3: Cross multiply
    3,786.68x = 5,667.90 × 2,027.30
  4. Step 4: Simplify right side
    3,786.68x = 11,490,533.67
  5. Step 5: Solve for x
    x = 11,490,533.67/3,786.68
  6. Step 6: Final answer
    x = 3,034.46

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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.