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Finding the Fourth Proportional to 5,856.76, 8,082.27 and 3,204.22

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Solution

The fourth proportional to 5,856.76, 8,082.27 and 3,204.22 is: 4,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.76 : 8,082.27 = 3,204.22 : x
  2. Step 2: Convert to fraction form
    5,856.76/8,082.27 = 3,204.22/x
  3. Step 3: Cross multiply
    5,856.76x = 8,082.27 × 3,204.22
  4. Step 4: Simplify right side
    5,856.76x = 25,897,371.18
  5. Step 5: Solve for x
    x = 25,897,371.18/5,856.76
  6. Step 6: Final answer
    x = 4,421.79

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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.