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Finding the Fourth Proportional to 5,228.72, 7,843.49 and 2,267.36

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Solution

The fourth proportional to 5,228.72, 7,843.49 and 2,267.36 is: 3,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.72 : 7,843.49 = 2,267.36 : x
  2. Step 2: Convert to fraction form
    5,228.72/7,843.49 = 2,267.36/x
  3. Step 3: Cross multiply
    5,228.72x = 7,843.49 × 2,267.36
  4. Step 4: Simplify right side
    5,228.72x = 17,784,015.49
  5. Step 5: Solve for x
    x = 17,784,015.49/5,228.72
  6. Step 6: Final answer
    x = 3,401.22

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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.