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Finding the Fourth Proportional to 4,096.39, 6,139.09 and 3,833.95

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Solution

The fourth proportional to 4,096.39, 6,139.09 and 3,833.95 is: 5,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.39 : 6,139.09 = 3,833.95 : x
  2. Step 2: Convert to fraction form
    4,096.39/6,139.09 = 3,833.95/x
  3. Step 3: Cross multiply
    4,096.39x = 6,139.09 × 3,833.95
  4. Step 4: Simplify right side
    4,096.39x = 23,536,964.11
  5. Step 5: Solve for x
    x = 23,536,964.11/4,096.39
  6. Step 6: Final answer
    x = 5,745.78

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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.