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Finding the Fourth Proportional to 3,963.96, 5,942.58 and 1,592.28

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Solution

The fourth proportional to 3,963.96, 5,942.58 and 1,592.28 is: 2,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.96 : 5,942.58 = 1,592.28 : x
  2. Step 2: Convert to fraction form
    3,963.96/5,942.58 = 1,592.28/x
  3. Step 3: Cross multiply
    3,963.96x = 5,942.58 × 1,592.28
  4. Step 4: Simplify right side
    3,963.96x = 9,462,251.28
  5. Step 5: Solve for x
    x = 9,462,251.28/3,963.96
  6. Step 6: Final answer
    x = 2,387.07

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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.