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Finding the Fourth Proportional to 4,519.08, 6,234.02 and 3,897

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Solution

The fourth proportional to 4,519.08, 6,234.02 and 3,897 is: 5,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.08 : 6,234.02 = 3,897 : x
  2. Step 2: Convert to fraction form
    4,519.08/6,234.02 = 3,897/x
  3. Step 3: Cross multiply
    4,519.08x = 6,234.02 × 3,897
  4. Step 4: Simplify right side
    4,519.08x = 24,293,975.94
  5. Step 5: Solve for x
    x = 24,293,975.94/4,519.08
  6. Step 6: Final answer
    x = 5,375.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.