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Finding the Fourth Proportional to 3,882.08, 5,818.26 and 3,057.09

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Solution

The fourth proportional to 3,882.08, 5,818.26 and 3,057.09 is: 4,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.08 : 5,818.26 = 3,057.09 : x
  2. Step 2: Convert to fraction form
    3,882.08/5,818.26 = 3,057.09/x
  3. Step 3: Cross multiply
    3,882.08x = 5,818.26 × 3,057.09
  4. Step 4: Simplify right side
    3,882.08x = 17,786,941.04
  5. Step 5: Solve for x
    x = 17,786,941.04/3,882.08
  6. Step 6: Final answer
    x = 4,581.81

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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.