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Finding the Fourth Proportional to 3,494.17, 5,243.89 and 1,851.09

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Solution

The fourth proportional to 3,494.17, 5,243.89 and 1,851.09 is: 2,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.17 : 5,243.89 = 1,851.09 : x
  2. Step 2: Convert to fraction form
    3,494.17/5,243.89 = 1,851.09/x
  3. Step 3: Cross multiply
    3,494.17x = 5,243.89 × 1,851.09
  4. Step 4: Simplify right side
    3,494.17x = 9,706,891.52
  5. Step 5: Solve for x
    x = 9,706,891.52/3,494.17
  6. Step 6: Final answer
    x = 2,778.02

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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.