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Finding the Fourth Proportional to 3,764.34, 5,644.08 and 2,034.18

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Solution

The fourth proportional to 3,764.34, 5,644.08 and 2,034.18 is: 3,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.34 : 5,644.08 = 2,034.18 : x
  2. Step 2: Convert to fraction form
    3,764.34/5,644.08 = 2,034.18/x
  3. Step 3: Cross multiply
    3,764.34x = 5,644.08 × 2,034.18
  4. Step 4: Simplify right side
    3,764.34x = 11,481,074.65
  5. Step 5: Solve for x
    x = 11,481,074.65/3,764.34
  6. Step 6: Final answer
    x = 3,049.96

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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.