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Finding the Fourth Proportional to 5,856.84, 8,082.28 and 3,204.24

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Solution

The fourth proportional to 5,856.84, 8,082.28 and 3,204.24 is: 4,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.84 : 8,082.28 = 3,204.24 : x
  2. Step 2: Convert to fraction form
    5,856.84/8,082.28 = 3,204.24/x
  3. Step 3: Cross multiply
    5,856.84x = 8,082.28 × 3,204.24
  4. Step 4: Simplify right side
    5,856.84x = 25,897,564.87
  5. Step 5: Solve for x
    x = 25,897,564.87/5,856.84
  6. Step 6: Final answer
    x = 4,421.76

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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.