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Finding the Fourth Proportional to 5,974.83, 8,963.76 and 4,223.28

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Solution

The fourth proportional to 5,974.83, 8,963.76 and 4,223.28 is: 6,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.83 : 8,963.76 = 4,223.28 : x
  2. Step 2: Convert to fraction form
    5,974.83/8,963.76 = 4,223.28/x
  3. Step 3: Cross multiply
    5,974.83x = 8,963.76 × 4,223.28
  4. Step 4: Simplify right side
    5,974.83x = 37,856,468.33
  5. Step 5: Solve for x
    x = 37,856,468.33/5,974.83
  6. Step 6: Final answer
    x = 6,335.99

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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.