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Finding the Fourth Proportional to 5,000.20, 7,503.56 and 2,227.60

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Solution

The fourth proportional to 5,000.20, 7,503.56 and 2,227.60 is: 3,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.20 : 7,503.56 = 2,227.60 : x
  2. Step 2: Convert to fraction form
    5,000.20/7,503.56 = 2,227.60/x
  3. Step 3: Cross multiply
    5,000.20x = 7,503.56 × 2,227.60
  4. Step 4: Simplify right side
    5,000.20x = 16,714,930.26
  5. Step 5: Solve for x
    x = 16,714,930.26/5,000.20
  6. Step 6: Final answer
    x = 3,342.85

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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.