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Finding the Fourth Proportional to 3,770.64, 5,644.62 and 2,034

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Solution

The fourth proportional to 3,770.64, 5,644.62 and 2,034 is: 3,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.64 : 5,644.62 = 2,034 : x
  2. Step 2: Convert to fraction form
    3,770.64/5,644.62 = 2,034/x
  3. Step 3: Cross multiply
    3,770.64x = 5,644.62 × 2,034
  4. Step 4: Simplify right side
    3,770.64x = 11,481,157.08
  5. Step 5: Solve for x
    x = 11,481,157.08/3,770.64
  6. Step 6: Final answer
    x = 3,044.88

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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.