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Finding the Fourth Proportional to 3,209.72, 4,427.89 and 2,014.11

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Solution

The fourth proportional to 3,209.72, 4,427.89 and 2,014.11 is: 2,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.72 : 4,427.89 = 2,014.11 : x
  2. Step 2: Convert to fraction form
    3,209.72/4,427.89 = 2,014.11/x
  3. Step 3: Cross multiply
    3,209.72x = 4,427.89 × 2,014.11
  4. Step 4: Simplify right side
    3,209.72x = 8,918,257.53
  5. Step 5: Solve for x
    x = 8,918,257.53/3,209.72
  6. Step 6: Final answer
    x = 2,778.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.