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Finding the Fourth Proportional to 3,964.32, 5,944.32 and 2,017.44

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Solution

The fourth proportional to 3,964.32, 5,944.32 and 2,017.44 is: 3,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.32 : 5,944.32 = 2,017.44 : x
  2. Step 2: Convert to fraction form
    3,964.32/5,944.32 = 2,017.44/x
  3. Step 3: Cross multiply
    3,964.32x = 5,944.32 × 2,017.44
  4. Step 4: Simplify right side
    3,964.32x = 11,992,308.94
  5. Step 5: Solve for x
    x = 11,992,308.94/3,964.32
  6. Step 6: Final answer
    x = 3,025.06

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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.