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Finding the Fourth Proportional to 3,493.97, 5,241.96 and 2,034.35

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Solution

The fourth proportional to 3,493.97, 5,241.96 and 2,034.35 is: 3,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.97 : 5,241.96 = 2,034.35 : x
  2. Step 2: Convert to fraction form
    3,493.97/5,241.96 = 2,034.35/x
  3. Step 3: Cross multiply
    3,493.97x = 5,241.96 × 2,034.35
  4. Step 4: Simplify right side
    3,493.97x = 10,663,981.33
  5. Step 5: Solve for x
    x = 10,663,981.33/3,493.97
  6. Step 6: Final answer
    x = 3,052.11

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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.