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Finding the Fourth Proportional to 5,896.34, 8,137 and 3,243.80

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Solution

The fourth proportional to 5,896.34, 8,137 and 3,243.80 is: 4,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.34 : 8,137 = 3,243.80 : x
  2. Step 2: Convert to fraction form
    5,896.34/8,137 = 3,243.80/x
  3. Step 3: Cross multiply
    5,896.34x = 8,137 × 3,243.80
  4. Step 4: Simplify right side
    5,896.34x = 26,394,800.60
  5. Step 5: Solve for x
    x = 26,394,800.60/5,896.34
  6. Step 6: Final answer
    x = 4,476.47

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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.