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Finding the Fourth Proportional to 4,892.16, 7,338.24 and 3,930.96

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Solution

The fourth proportional to 4,892.16, 7,338.24 and 3,930.96 is: 5,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.16 : 7,338.24 = 3,930.96 : x
  2. Step 2: Convert to fraction form
    4,892.16/7,338.24 = 3,930.96/x
  3. Step 3: Cross multiply
    4,892.16x = 7,338.24 × 3,930.96
  4. Step 4: Simplify right side
    4,892.16x = 28,846,327.91
  5. Step 5: Solve for x
    x = 28,846,327.91/4,892.16
  6. Step 6: Final answer
    x = 5,896.44

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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.