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Finding the Fourth Proportional to 5,856.85, 8,082.35 and 3,204.20

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Solution

The fourth proportional to 5,856.85, 8,082.35 and 3,204.20 is: 4,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.85 : 8,082.35 = 3,204.20 : x
  2. Step 2: Convert to fraction form
    5,856.85/8,082.35 = 3,204.20/x
  3. Step 3: Cross multiply
    5,856.85x = 8,082.35 × 3,204.20
  4. Step 4: Simplify right side
    5,856.85x = 25,897,409.44
  5. Step 5: Solve for x
    x = 25,897,409.44/5,856.85
  6. Step 6: Final answer
    x = 4,421.73

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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.