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Finding the Fourth Proportional to 5,444.73, 8,164.50 and 3,193.94

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Solution

The fourth proportional to 5,444.73, 8,164.50 and 3,193.94 is: 4,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.73 : 8,164.50 = 3,193.94 : x
  2. Step 2: Convert to fraction form
    5,444.73/8,164.50 = 3,193.94/x
  3. Step 3: Cross multiply
    5,444.73x = 8,164.50 × 3,193.94
  4. Step 4: Simplify right side
    5,444.73x = 26,076,882.31
  5. Step 5: Solve for x
    x = 26,076,882.31/5,444.73
  6. Step 6: Final answer
    x = 4,789.38

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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.