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Finding the Fourth Proportional to 3,798.56, 5,241.84 and 2,228

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Solution

The fourth proportional to 3,798.56, 5,241.84 and 2,228 is: 3,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.56 : 5,241.84 = 2,228 : x
  2. Step 2: Convert to fraction form
    3,798.56/5,241.84 = 2,228/x
  3. Step 3: Cross multiply
    3,798.56x = 5,241.84 × 2,228
  4. Step 4: Simplify right side
    3,798.56x = 11,678,819.52
  5. Step 5: Solve for x
    x = 11,678,819.52/3,798.56
  6. Step 6: Final answer
    x = 3,074.54

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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.