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Finding the Fourth Proportional to 5,856.52, 8,082.02 and 3,203.92

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Solution

The fourth proportional to 5,856.52, 8,082.02 and 3,203.92 is: 4,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.52 : 8,082.02 = 3,203.92 : x
  2. Step 2: Convert to fraction form
    5,856.52/8,082.02 = 3,203.92/x
  3. Step 3: Cross multiply
    5,856.52x = 8,082.02 × 3,203.92
  4. Step 4: Simplify right side
    5,856.52x = 25,894,145.52
  5. Step 5: Solve for x
    x = 25,894,145.52/5,856.52
  6. Step 6: Final answer
    x = 4,421.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.