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Finding the Fourth Proportional to 4,157.52, 6,227.64 and 3,229.80

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Solution

The fourth proportional to 4,157.52, 6,227.64 and 3,229.80 is: 4,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.52 : 6,227.64 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    4,157.52/6,227.64 = 3,229.80/x
  3. Step 3: Cross multiply
    4,157.52x = 6,227.64 × 3,229.80
  4. Step 4: Simplify right side
    4,157.52x = 20,114,031.67
  5. Step 5: Solve for x
    x = 20,114,031.67/4,157.52
  6. Step 6: Final answer
    x = 4,837.99

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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.