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Finding the Fourth Proportional to 5,113.82, 7,057.14 and 3,096.92

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Solution

The fourth proportional to 5,113.82, 7,057.14 and 3,096.92 is: 4,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.82 : 7,057.14 = 3,096.92 : x
  2. Step 2: Convert to fraction form
    5,113.82/7,057.14 = 3,096.92/x
  3. Step 3: Cross multiply
    5,113.82x = 7,057.14 × 3,096.92
  4. Step 4: Simplify right side
    5,113.82x = 21,855,398.01
  5. Step 5: Solve for x
    x = 21,855,398.01/5,113.82
  6. Step 6: Final answer
    x = 4,273.79

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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.