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Finding the Fourth Proportional to 4,794.44, 7,189.16 and 3,234.38

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Solution

The fourth proportional to 4,794.44, 7,189.16 and 3,234.38 is: 4,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.44 : 7,189.16 = 3,234.38 : x
  2. Step 2: Convert to fraction form
    4,794.44/7,189.16 = 3,234.38/x
  3. Step 3: Cross multiply
    4,794.44x = 7,189.16 × 3,234.38
  4. Step 4: Simplify right side
    4,794.44x = 23,252,423.20
  5. Step 5: Solve for x
    x = 23,252,423.20/4,794.44
  6. Step 6: Final answer
    x = 4,849.88

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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.