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Finding the Fourth Proportional to 4,150.28, 5,727.60 and 2,287.28

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Solution

The fourth proportional to 4,150.28, 5,727.60 and 2,287.28 is: 3,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.28 : 5,727.60 = 2,287.28 : x
  2. Step 2: Convert to fraction form
    4,150.28/5,727.60 = 2,287.28/x
  3. Step 3: Cross multiply
    4,150.28x = 5,727.60 × 2,287.28
  4. Step 4: Simplify right side
    4,150.28x = 13,100,624.93
  5. Step 5: Solve for x
    x = 13,100,624.93/4,150.28
  6. Step 6: Final answer
    x = 3,156.56

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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.