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Finding the Fourth Proportional to 3,896.69, 5,846.75 and 2,047.38

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Solution

The fourth proportional to 3,896.69, 5,846.75 and 2,047.38 is: 3,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.69 : 5,846.75 = 2,047.38 : x
  2. Step 2: Convert to fraction form
    3,896.69/5,846.75 = 2,047.38/x
  3. Step 3: Cross multiply
    3,896.69x = 5,846.75 × 2,047.38
  4. Step 4: Simplify right side
    3,896.69x = 11,970,519.02
  5. Step 5: Solve for x
    x = 11,970,519.02/3,896.69
  6. Step 6: Final answer
    x = 3,071.97

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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.