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Finding the Fourth Proportional to 3,728.42, 5,144.77 and 2,049.55

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Solution

The fourth proportional to 3,728.42, 5,144.77 and 2,049.55 is: 2,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.42 : 5,144.77 = 2,049.55 : x
  2. Step 2: Convert to fraction form
    3,728.42/5,144.77 = 2,049.55/x
  3. Step 3: Cross multiply
    3,728.42x = 5,144.77 × 2,049.55
  4. Step 4: Simplify right side
    3,728.42x = 10,544,427.38
  5. Step 5: Solve for x
    x = 10,544,427.38/3,728.42
  6. Step 6: Final answer
    x = 2,828.13

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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.