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Finding the Fourth Proportional to 4,633.25, 6,949.83 and 3,938.27

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Solution

The fourth proportional to 4,633.25, 6,949.83 and 3,938.27 is: 5,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.25 : 6,949.83 = 3,938.27 : x
  2. Step 2: Convert to fraction form
    4,633.25/6,949.83 = 3,938.27/x
  3. Step 3: Cross multiply
    4,633.25x = 6,949.83 × 3,938.27
  4. Step 4: Simplify right side
    4,633.25x = 27,370,272.24
  5. Step 5: Solve for x
    x = 27,370,272.24/4,633.25
  6. Step 6: Final answer
    x = 5,907.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.