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Finding the Fourth Proportional to 3,788.72, 5,228.64 and 2,217.28

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Solution

The fourth proportional to 3,788.72, 5,228.64 and 2,217.28 is: 3,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.72 : 5,228.64 = 2,217.28 : x
  2. Step 2: Convert to fraction form
    3,788.72/5,228.64 = 2,217.28/x
  3. Step 3: Cross multiply
    3,788.72x = 5,228.64 × 2,217.28
  4. Step 4: Simplify right side
    3,788.72x = 11,593,358.90
  5. Step 5: Solve for x
    x = 11,593,358.90/3,788.72
  6. Step 6: Final answer
    x = 3,059.97

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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.