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Finding the Fourth Proportional to 4,268.57, 6,385.97 and 3,231.57

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Solution

The fourth proportional to 4,268.57, 6,385.97 and 3,231.57 is: 4,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.57 : 6,385.97 = 3,231.57 : x
  2. Step 2: Convert to fraction form
    4,268.57/6,385.97 = 3,231.57/x
  3. Step 3: Cross multiply
    4,268.57x = 6,385.97 × 3,231.57
  4. Step 4: Simplify right side
    4,268.57x = 20,636,717.15
  5. Step 5: Solve for x
    x = 20,636,717.15/4,268.57
  6. Step 6: Final answer
    x = 4,834.57

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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.