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Finding the Fourth Proportional to 4,227.66, 6,332.46 and 3,433.44

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Solution

The fourth proportional to 4,227.66, 6,332.46 and 3,433.44 is: 5,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.66 : 6,332.46 = 3,433.44 : x
  2. Step 2: Convert to fraction form
    4,227.66/6,332.46 = 3,433.44/x
  3. Step 3: Cross multiply
    4,227.66x = 6,332.46 × 3,433.44
  4. Step 4: Simplify right side
    4,227.66x = 21,742,121.46
  5. Step 5: Solve for x
    x = 21,742,121.46/4,227.66
  6. Step 6: Final answer
    x = 5,142.83

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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.