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Finding the Fourth Proportional to 5,096.71, 7,032.99 and 2,858.68

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Solution

The fourth proportional to 5,096.71, 7,032.99 and 2,858.68 is: 3,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.71 : 7,032.99 = 2,858.68 : x
  2. Step 2: Convert to fraction form
    5,096.71/7,032.99 = 2,858.68/x
  3. Step 3: Cross multiply
    5,096.71x = 7,032.99 × 2,858.68
  4. Step 4: Simplify right side
    5,096.71x = 20,105,067.85
  5. Step 5: Solve for x
    x = 20,105,067.85/5,096.71
  6. Step 6: Final answer
    x = 3,944.71

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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.