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Finding the Fourth Proportional to 5,856.81, 8,082.39 and 3,204.22

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Solution

The fourth proportional to 5,856.81, 8,082.39 and 3,204.22 is: 4,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.81 : 8,082.39 = 3,204.22 : x
  2. Step 2: Convert to fraction form
    5,856.81/8,082.39 = 3,204.22/x
  3. Step 3: Cross multiply
    5,856.81x = 8,082.39 × 3,204.22
  4. Step 4: Simplify right side
    5,856.81x = 25,897,755.69
  5. Step 5: Solve for x
    x = 25,897,755.69/5,856.81
  6. Step 6: Final answer
    x = 4,421.82

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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.