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Finding the Fourth Proportional to 3,694.34, 5,540.54 and 1,096.68

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Solution

The fourth proportional to 3,694.34, 5,540.54 and 1,096.68 is: 1,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.34 : 5,540.54 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    3,694.34/5,540.54 = 1,096.68/x
  3. Step 3: Cross multiply
    3,694.34x = 5,540.54 × 1,096.68
  4. Step 4: Simplify right side
    3,694.34x = 6,076,199.41
  5. Step 5: Solve for x
    x = 6,076,199.41/3,694.34
  6. Step 6: Final answer
    x = 1,644.73

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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.