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Finding the Fourth Proportional to 3,412.82, 5,119.22 and 2,258.30

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Solution

The fourth proportional to 3,412.82, 5,119.22 and 2,258.30 is: 3,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.82 : 5,119.22 = 2,258.30 : x
  2. Step 2: Convert to fraction form
    3,412.82/5,119.22 = 2,258.30/x
  3. Step 3: Cross multiply
    3,412.82x = 5,119.22 × 2,258.30
  4. Step 4: Simplify right side
    3,412.82x = 11,560,734.53
  5. Step 5: Solve for x
    x = 11,560,734.53/3,412.82
  6. Step 6: Final answer
    x = 3,387.44

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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.