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Finding the Fourth Proportional to 4,471.94, 6,177.39 and 3,631.70

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Solution

The fourth proportional to 4,471.94, 6,177.39 and 3,631.70 is: 5,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.94 : 6,177.39 = 3,631.70 : x
  2. Step 2: Convert to fraction form
    4,471.94/6,177.39 = 3,631.70/x
  3. Step 3: Cross multiply
    4,471.94x = 6,177.39 × 3,631.70
  4. Step 4: Simplify right side
    4,471.94x = 22,434,427.26
  5. Step 5: Solve for x
    x = 22,434,427.26/4,471.94
  6. Step 6: Final answer
    x = 5,016.71

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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.