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Finding the Fourth Proportional to 3,903.85, 5,388.38 and 2,226.14

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Solution

The fourth proportional to 3,903.85, 5,388.38 and 2,226.14 is: 3,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.85 : 5,388.38 = 2,226.14 : x
  2. Step 2: Convert to fraction form
    3,903.85/5,388.38 = 2,226.14/x
  3. Step 3: Cross multiply
    3,903.85x = 5,388.38 × 2,226.14
  4. Step 4: Simplify right side
    3,903.85x = 11,995,288.25
  5. Step 5: Solve for x
    x = 11,995,288.25/3,903.85
  6. Step 6: Final answer
    x = 3,072.68

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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.