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Finding the Fourth Proportional to 4,441.72, 6,662.57 and 4,171.07

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Solution

The fourth proportional to 4,441.72, 6,662.57 and 4,171.07 is: 6,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.72 : 6,662.57 = 4,171.07 : x
  2. Step 2: Convert to fraction form
    4,441.72/6,662.57 = 4,171.07/x
  3. Step 3: Cross multiply
    4,441.72x = 6,662.57 × 4,171.07
  4. Step 4: Simplify right side
    4,441.72x = 27,789,991.68
  5. Step 5: Solve for x
    x = 27,789,991.68/4,441.72
  6. Step 6: Final answer
    x = 6,256.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.