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Finding the Fourth Proportional to 5,856.86, 8,082.46 and 3,204.26

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Solution

The fourth proportional to 5,856.86, 8,082.46 and 3,204.26 is: 4,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.86 : 8,082.46 = 3,204.26 : x
  2. Step 2: Convert to fraction form
    5,856.86/8,082.46 = 3,204.26/x
  3. Step 3: Cross multiply
    5,856.86x = 8,082.46 × 3,204.26
  4. Step 4: Simplify right side
    5,856.86x = 25,898,303.28
  5. Step 5: Solve for x
    x = 25,898,303.28/5,856.86
  6. Step 6: Final answer
    x = 4,421.88

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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.