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Finding the Fourth Proportional to 3,493.46, 5,241.11 and 2,031.36

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Solution

The fourth proportional to 3,493.46, 5,241.11 and 2,031.36 is: 3,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.46 : 5,241.11 = 2,031.36 : x
  2. Step 2: Convert to fraction form
    3,493.46/5,241.11 = 2,031.36/x
  3. Step 3: Cross multiply
    3,493.46x = 5,241.11 × 2,031.36
  4. Step 4: Simplify right side
    3,493.46x = 10,646,571.05
  5. Step 5: Solve for x
    x = 10,646,571.05/3,493.46
  6. Step 6: Final answer
    x = 3,047.58

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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.