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Finding the Fourth Proportional to 5,496.45, 8,226.45 and 3,856.20

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Solution

The fourth proportional to 5,496.45, 8,226.45 and 3,856.20 is: 5,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.45 : 8,226.45 = 3,856.20 : x
  2. Step 2: Convert to fraction form
    5,496.45/8,226.45 = 3,856.20/x
  3. Step 3: Cross multiply
    5,496.45x = 8,226.45 × 3,856.20
  4. Step 4: Simplify right side
    5,496.45x = 31,722,836.49
  5. Step 5: Solve for x
    x = 31,722,836.49/5,496.45
  6. Step 6: Final answer
    x = 5,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.