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Finding the Fourth Proportional to 3,800.64, 5,245.38 and 2,228.88

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Solution

The fourth proportional to 3,800.64, 5,245.38 and 2,228.88 is: 3,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.64 : 5,245.38 = 2,228.88 : x
  2. Step 2: Convert to fraction form
    3,800.64/5,245.38 = 2,228.88/x
  3. Step 3: Cross multiply
    3,800.64x = 5,245.38 × 2,228.88
  4. Step 4: Simplify right side
    3,800.64x = 11,691,322.57
  5. Step 5: Solve for x
    x = 11,691,322.57/3,800.64
  6. Step 6: Final answer
    x = 3,076.15

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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.