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Finding the Fourth Proportional to 3,727.68, 5,144.88 and 2,155.92

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Solution

The fourth proportional to 3,727.68, 5,144.88 and 2,155.92 is: 2,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.68 : 5,144.88 = 2,155.92 : x
  2. Step 2: Convert to fraction form
    3,727.68/5,144.88 = 2,155.92/x
  3. Step 3: Cross multiply
    3,727.68x = 5,144.88 × 2,155.92
  4. Step 4: Simplify right side
    3,727.68x = 11,091,949.69
  5. Step 5: Solve for x
    x = 11,091,949.69/3,727.68
  6. Step 6: Final answer
    x = 2,975.56

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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.