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Finding the Fourth Proportional to 3,728.08, 5,144.84 and 2,049.52

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Solution

The fourth proportional to 3,728.08, 5,144.84 and 2,049.52 is: 2,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.08 : 5,144.84 = 2,049.52 : x
  2. Step 2: Convert to fraction form
    3,728.08/5,144.84 = 2,049.52/x
  3. Step 3: Cross multiply
    3,728.08x = 5,144.84 × 2,049.52
  4. Step 4: Simplify right side
    3,728.08x = 10,544,452.48
  5. Step 5: Solve for x
    x = 10,544,452.48/3,728.08
  6. Step 6: Final answer
    x = 2,828.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.