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Finding the Fourth Proportional to 4,096.98, 5,650.81 and 2,678.47

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Solution

The fourth proportional to 4,096.98, 5,650.81 and 2,678.47 is: 3,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.98 : 5,650.81 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    4,096.98/5,650.81 = 2,678.47/x
  3. Step 3: Cross multiply
    4,096.98x = 5,650.81 × 2,678.47
  4. Step 4: Simplify right side
    4,096.98x = 15,135,519.30
  5. Step 5: Solve for x
    x = 15,135,519.30/4,096.98
  6. Step 6: Final answer
    x = 3,694.31

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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.