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Finding the Fourth Proportional to 3,789.91, 5,235.24 and 3,206.71

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Solution

The fourth proportional to 3,789.91, 5,235.24 and 3,206.71 is: 4,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.91 : 5,235.24 = 3,206.71 : x
  2. Step 2: Convert to fraction form
    3,789.91/5,235.24 = 3,206.71/x
  3. Step 3: Cross multiply
    3,789.91x = 5,235.24 × 3,206.71
  4. Step 4: Simplify right side
    3,789.91x = 16,787,896.46
  5. Step 5: Solve for x
    x = 16,787,896.46/3,789.91
  6. Step 6: Final answer
    x = 4,429.63

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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.