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Finding the Fourth Proportional to 5,687.54, 8,532.02 and 2,224.34

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Solution

The fourth proportional to 5,687.54, 8,532.02 and 2,224.34 is: 3,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.54 : 8,532.02 = 2,224.34 : x
  2. Step 2: Convert to fraction form
    5,687.54/8,532.02 = 2,224.34/x
  3. Step 3: Cross multiply
    5,687.54x = 8,532.02 × 2,224.34
  4. Step 4: Simplify right side
    5,687.54x = 18,978,076.27
  5. Step 5: Solve for x
    x = 18,978,076.27/5,687.54
  6. Step 6: Final answer
    x = 3,336.78

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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.