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Finding the Fourth Proportional to 4,147.04, 6,221.12 and 1,372.80

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Solution

The fourth proportional to 4,147.04, 6,221.12 and 1,372.80 is: 2,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.04 : 6,221.12 = 1,372.80 : x
  2. Step 2: Convert to fraction form
    4,147.04/6,221.12 = 1,372.80/x
  3. Step 3: Cross multiply
    4,147.04x = 6,221.12 × 1,372.80
  4. Step 4: Simplify right side
    4,147.04x = 8,540,353.54
  5. Step 5: Solve for x
    x = 8,540,353.54/4,147.04
  6. Step 6: Final answer
    x = 2,059.39

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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.