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Finding the Fourth Proportional to 3,581.28, 4,942.44 and 2,184

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Solution

The fourth proportional to 3,581.28, 4,942.44 and 2,184 is: 3,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.28 : 4,942.44 = 2,184 : x
  2. Step 2: Convert to fraction form
    3,581.28/4,942.44 = 2,184/x
  3. Step 3: Cross multiply
    3,581.28x = 4,942.44 × 2,184
  4. Step 4: Simplify right side
    3,581.28x = 10,794,288.96
  5. Step 5: Solve for x
    x = 10,794,288.96/3,581.28
  6. Step 6: Final answer
    x = 3,014.09

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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.