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Finding the Fourth Proportional to 5,856.84, 8,082.66 and 3,204.48

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Solution

The fourth proportional to 5,856.84, 8,082.66 and 3,204.48 is: 4,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.84 : 8,082.66 = 3,204.48 : x
  2. Step 2: Convert to fraction form
    5,856.84/8,082.66 = 3,204.48/x
  3. Step 3: Cross multiply
    5,856.84x = 8,082.66 × 3,204.48
  4. Step 4: Simplify right side
    5,856.84x = 25,900,722.32
  5. Step 5: Solve for x
    x = 25,900,722.32/5,856.84
  6. Step 6: Final answer
    x = 4,422.30

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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.