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Finding the Fourth Proportional to 4,170.50, 5,757.72 and 2,775.68

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Solution

The fourth proportional to 4,170.50, 5,757.72 and 2,775.68 is: 3,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.50 : 5,757.72 = 2,775.68 : x
  2. Step 2: Convert to fraction form
    4,170.50/5,757.72 = 2,775.68/x
  3. Step 3: Cross multiply
    4,170.50x = 5,757.72 × 2,775.68
  4. Step 4: Simplify right side
    4,170.50x = 15,981,588.25
  5. Step 5: Solve for x
    x = 15,981,588.25/4,170.50
  6. Step 6: Final answer
    x = 3,832.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.