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Finding the Fourth Proportional to 4,471.59, 6,156.75 and 3,797.97

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Solution

The fourth proportional to 4,471.59, 6,156.75 and 3,797.97 is: 5,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.59 : 6,156.75 = 3,797.97 : x
  2. Step 2: Convert to fraction form
    4,471.59/6,156.75 = 3,797.97/x
  3. Step 3: Cross multiply
    4,471.59x = 6,156.75 × 3,797.97
  4. Step 4: Simplify right side
    4,471.59x = 23,383,151.80
  5. Step 5: Solve for x
    x = 23,383,151.80/4,471.59
  6. Step 6: Final answer
    x = 5,229.27

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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.