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Finding the Fourth Proportional to 3,963.52, 5,957.24 and 3,274.62

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Solution

The fourth proportional to 3,963.52, 5,957.24 and 3,274.62 is: 4,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.52 : 5,957.24 = 3,274.62 : x
  2. Step 2: Convert to fraction form
    3,963.52/5,957.24 = 3,274.62/x
  3. Step 3: Cross multiply
    3,963.52x = 5,957.24 × 3,274.62
  4. Step 4: Simplify right side
    3,963.52x = 19,507,697.25
  5. Step 5: Solve for x
    x = 19,507,697.25/3,963.52
  6. Step 6: Final answer
    x = 4,921.81

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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.