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Finding the Fourth Proportional to 5,896.38, 8,137.14 and 3,243.79

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Solution

The fourth proportional to 5,896.38, 8,137.14 and 3,243.79 is: 4,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.38 : 8,137.14 = 3,243.79 : x
  2. Step 2: Convert to fraction form
    5,896.38/8,137.14 = 3,243.79/x
  3. Step 3: Cross multiply
    5,896.38x = 8,137.14 × 3,243.79
  4. Step 4: Simplify right side
    5,896.38x = 26,395,177.48
  5. Step 5: Solve for x
    x = 26,395,177.48/5,896.38
  6. Step 6: Final answer
    x = 4,476.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.