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Finding the Fourth Proportional to 5,215.94, 7,201.68 and 3,227.12

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Solution

The fourth proportional to 5,215.94, 7,201.68 and 3,227.12 is: 4,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.94 : 7,201.68 = 3,227.12 : x
  2. Step 2: Convert to fraction form
    5,215.94/7,201.68 = 3,227.12/x
  3. Step 3: Cross multiply
    5,215.94x = 7,201.68 × 3,227.12
  4. Step 4: Simplify right side
    5,215.94x = 23,240,685.56
  5. Step 5: Solve for x
    x = 23,240,685.56/5,215.94
  6. Step 6: Final answer
    x = 4,455.70

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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.