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Finding the Fourth Proportional to 3,493.31, 5,238.17 and 1,027.81

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Solution

The fourth proportional to 3,493.31, 5,238.17 and 1,027.81 is: 1,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.31 : 5,238.17 = 1,027.81 : x
  2. Step 2: Convert to fraction form
    3,493.31/5,238.17 = 1,027.81/x
  3. Step 3: Cross multiply
    3,493.31x = 5,238.17 × 1,027.81
  4. Step 4: Simplify right side
    3,493.31x = 5,383,863.50
  5. Step 5: Solve for x
    x = 5,383,863.50/3,493.31
  6. Step 6: Final answer
    x = 1,541.19

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Why These Related Problems?

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