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Finding the Fourth Proportional to 3,882.20, 5,817.54 and 3,749.72

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Solution

The fourth proportional to 3,882.20, 5,817.54 and 3,749.72 is: 5,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.20 : 5,817.54 = 3,749.72 : x
  2. Step 2: Convert to fraction form
    3,882.20/5,817.54 = 3,749.72/x
  3. Step 3: Cross multiply
    3,882.20x = 5,817.54 × 3,749.72
  4. Step 4: Simplify right side
    3,882.20x = 21,814,146.09
  5. Step 5: Solve for x
    x = 21,814,146.09/3,882.20
  6. Step 6: Final answer
    x = 5,619.02

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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.