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Finding the Fourth Proportional to 3,906.63, 5,390.82 and 2,228.31

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Solution

The fourth proportional to 3,906.63, 5,390.82 and 2,228.31 is: 3,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.63 : 5,390.82 = 2,228.31 : x
  2. Step 2: Convert to fraction form
    3,906.63/5,390.82 = 2,228.31/x
  3. Step 3: Cross multiply
    3,906.63x = 5,390.82 × 2,228.31
  4. Step 4: Simplify right side
    3,906.63x = 12,012,418.11
  5. Step 5: Solve for x
    x = 12,012,418.11/3,906.63
  6. Step 6: Final answer
    x = 3,074.88

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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.