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Finding the Fourth Proportional to 3,957.59, 5,936.79 and 1,494.48

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Solution

The fourth proportional to 3,957.59, 5,936.79 and 1,494.48 is: 2,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.59 : 5,936.79 = 1,494.48 : x
  2. Step 2: Convert to fraction form
    3,957.59/5,936.79 = 1,494.48/x
  3. Step 3: Cross multiply
    3,957.59x = 5,936.79 × 1,494.48
  4. Step 4: Simplify right side
    3,957.59x = 8,872,441.79
  5. Step 5: Solve for x
    x = 8,872,441.79/3,957.59
  6. Step 6: Final answer
    x = 2,241.88

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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.