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Finding the Fourth Proportional to 5,227.74, 7,832.30 and 2,757.04

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Solution

The fourth proportional to 5,227.74, 7,832.30 and 2,757.04 is: 4,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.74 : 7,832.30 = 2,757.04 : x
  2. Step 2: Convert to fraction form
    5,227.74/7,832.30 = 2,757.04/x
  3. Step 3: Cross multiply
    5,227.74x = 7,832.30 × 2,757.04
  4. Step 4: Simplify right side
    5,227.74x = 21,593,931.03
  5. Step 5: Solve for x
    x = 21,593,931.03/5,227.74
  6. Step 6: Final answer
    x = 4,130.64

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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.