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Finding the Fourth Proportional to 3,231.52, 4,459.38 and 1,906.12

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Solution

The fourth proportional to 3,231.52, 4,459.38 and 1,906.12 is: 2,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.52 : 4,459.38 = 1,906.12 : x
  2. Step 2: Convert to fraction form
    3,231.52/4,459.38 = 1,906.12/x
  3. Step 3: Cross multiply
    3,231.52x = 4,459.38 × 1,906.12
  4. Step 4: Simplify right side
    3,231.52x = 8,500,113.41
  5. Step 5: Solve for x
    x = 8,500,113.41/3,231.52
  6. Step 6: Final answer
    x = 2,630.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.