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Finding the Fourth Proportional to 5,517.36, 8,271 and 2,228.22

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Solution

The fourth proportional to 5,517.36, 8,271 and 2,228.22 is: 3,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.36 : 8,271 = 2,228.22 : x
  2. Step 2: Convert to fraction form
    5,517.36/8,271 = 2,228.22/x
  3. Step 3: Cross multiply
    5,517.36x = 8,271 × 2,228.22
  4. Step 4: Simplify right side
    5,517.36x = 18,429,607.62
  5. Step 5: Solve for x
    x = 18,429,607.62/5,517.36
  6. Step 6: Final answer
    x = 3,340.29

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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.