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Finding the Fourth Proportional to 3,963.64, 5,936.76 and 3,268.72

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Solution

The fourth proportional to 3,963.64, 5,936.76 and 3,268.72 is: 4,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.64 : 5,936.76 = 3,268.72 : x
  2. Step 2: Convert to fraction form
    3,963.64/5,936.76 = 3,268.72/x
  3. Step 3: Cross multiply
    3,963.64x = 5,936.76 × 3,268.72
  4. Step 4: Simplify right side
    3,963.64x = 19,405,606.15
  5. Step 5: Solve for x
    x = 19,405,606.15/3,963.64
  6. Step 6: Final answer
    x = 4,895.91

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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.