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Finding the Fourth Proportional to 5,974.63, 8,963.03 and 2,462.68

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Solution

The fourth proportional to 5,974.63, 8,963.03 and 2,462.68 is: 3,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.63 : 8,963.03 = 2,462.68 : x
  2. Step 2: Convert to fraction form
    5,974.63/8,963.03 = 2,462.68/x
  3. Step 3: Cross multiply
    5,974.63x = 8,963.03 × 2,462.68
  4. Step 4: Simplify right side
    5,974.63x = 22,073,078.23
  5. Step 5: Solve for x
    x = 22,073,078.23/5,974.63
  6. Step 6: Final answer
    x = 3,694.47

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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.