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Finding the Fourth Proportional to 5,892.96, 8,129.56 and 3,767.94

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Solution

The fourth proportional to 5,892.96, 8,129.56 and 3,767.94 is: 5,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.96 : 8,129.56 = 3,767.94 : x
  2. Step 2: Convert to fraction form
    5,892.96/8,129.56 = 3,767.94/x
  3. Step 3: Cross multiply
    5,892.96x = 8,129.56 × 3,767.94
  4. Step 4: Simplify right side
    5,892.96x = 30,631,694.31
  5. Step 5: Solve for x
    x = 30,631,694.31/5,892.96
  6. Step 6: Final answer
    x = 5,198.01

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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.