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Finding the Fourth Proportional to 3,227.14, 4,453.54 and 1,829.88

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Solution

The fourth proportional to 3,227.14, 4,453.54 and 1,829.88 is: 2,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.14 : 4,453.54 = 1,829.88 : x
  2. Step 2: Convert to fraction form
    3,227.14/4,453.54 = 1,829.88/x
  3. Step 3: Cross multiply
    3,227.14x = 4,453.54 × 1,829.88
  4. Step 4: Simplify right side
    3,227.14x = 8,149,443.78
  5. Step 5: Solve for x
    x = 8,149,443.78/3,227.14
  6. Step 6: Final answer
    x = 2,525.28

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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.