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Finding the Fourth Proportional to 5,856.71, 8,082.28 and 3,204.16

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Solution

The fourth proportional to 5,856.71, 8,082.28 and 3,204.16 is: 4,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.71 : 8,082.28 = 3,204.16 : x
  2. Step 2: Convert to fraction form
    5,856.71/8,082.28 = 3,204.16/x
  3. Step 3: Cross multiply
    5,856.71x = 8,082.28 × 3,204.16
  4. Step 4: Simplify right side
    5,856.71x = 25,896,902.08
  5. Step 5: Solve for x
    x = 25,896,902.08/5,856.71
  6. Step 6: Final answer
    x = 4,421.75

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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.