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Finding the Fourth Proportional to 5,228.96, 7,843.88 and 2,267.60

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Solution

The fourth proportional to 5,228.96, 7,843.88 and 2,267.60 is: 3,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.96 : 7,843.88 = 2,267.60 : x
  2. Step 2: Convert to fraction form
    5,228.96/7,843.88 = 2,267.60/x
  3. Step 3: Cross multiply
    5,228.96x = 7,843.88 × 2,267.60
  4. Step 4: Simplify right side
    5,228.96x = 17,786,782.29
  5. Step 5: Solve for x
    x = 17,786,782.29/5,228.96
  6. Step 6: Final answer
    x = 3,401.59

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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.