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Finding the Fourth Proportional to 3,727.63, 5,144.03 and 2,049.04

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Solution

The fourth proportional to 3,727.63, 5,144.03 and 2,049.04 is: 2,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.63 : 5,144.03 = 2,049.04 : x
  2. Step 2: Convert to fraction form
    3,727.63/5,144.03 = 2,049.04/x
  3. Step 3: Cross multiply
    3,727.63x = 5,144.03 × 2,049.04
  4. Step 4: Simplify right side
    3,727.63x = 10,540,323.23
  5. Step 5: Solve for x
    x = 10,540,323.23/3,727.63
  6. Step 6: Final answer
    x = 2,827.62

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