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Finding the Fourth Proportional to 3,427.73, 5,142.36 and 1,087.88

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Solution

The fourth proportional to 3,427.73, 5,142.36 and 1,087.88 is: 1,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.73 : 5,142.36 = 1,087.88 : x
  2. Step 2: Convert to fraction form
    3,427.73/5,142.36 = 1,087.88/x
  3. Step 3: Cross multiply
    3,427.73x = 5,142.36 × 1,087.88
  4. Step 4: Simplify right side
    3,427.73x = 5,594,244.89
  5. Step 5: Solve for x
    x = 5,594,244.89/3,427.73
  6. Step 6: Final answer
    x = 1,632.06

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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.