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Finding the Fourth Proportional to 5,932.74, 8,893.50 and 2,644.02

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Solution

The fourth proportional to 5,932.74, 8,893.50 and 2,644.02 is: 3,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.74 : 8,893.50 = 2,644.02 : x
  2. Step 2: Convert to fraction form
    5,932.74/8,893.50 = 2,644.02/x
  3. Step 3: Cross multiply
    5,932.74x = 8,893.50 × 2,644.02
  4. Step 4: Simplify right side
    5,932.74x = 23,514,591.87
  5. Step 5: Solve for x
    x = 23,514,591.87/5,932.74
  6. Step 6: Final answer
    x = 3,963.53

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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.