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Finding the Fourth Proportional to 3,481.78, 5,214.63 and 2,092.06

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Solution

The fourth proportional to 3,481.78, 5,214.63 and 2,092.06 is: 3,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.78 : 5,214.63 = 2,092.06 : x
  2. Step 2: Convert to fraction form
    3,481.78/5,214.63 = 2,092.06/x
  3. Step 3: Cross multiply
    3,481.78x = 5,214.63 × 2,092.06
  4. Step 4: Simplify right side
    3,481.78x = 10,909,304.50
  5. Step 5: Solve for x
    x = 10,909,304.50/3,481.78
  6. Step 6: Final answer
    x = 3,133.25

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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.