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Finding the Fourth Proportional to 3,670.62, 5,507.73 and 2,027.22

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Solution

The fourth proportional to 3,670.62, 5,507.73 and 2,027.22 is: 3,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.62 : 5,507.73 = 2,027.22 : x
  2. Step 2: Convert to fraction form
    3,670.62/5,507.73 = 2,027.22/x
  3. Step 3: Cross multiply
    3,670.62x = 5,507.73 × 2,027.22
  4. Step 4: Simplify right side
    3,670.62x = 11,165,380.41
  5. Step 5: Solve for x
    x = 11,165,380.41/3,670.62
  6. Step 6: Final answer
    x = 3,041.82

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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.