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Finding the Fourth Proportional to 5,896, 8,843.88 and 2,563.56

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Solution

The fourth proportional to 5,896, 8,843.88 and 2,563.56 is: 3,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 8,843.88 = 2,563.56 : x
  2. Step 2: Convert to fraction form
    5,896/8,843.88 = 2,563.56/x
  3. Step 3: Cross multiply
    5,896x = 8,843.88 × 2,563.56
  4. Step 4: Simplify right side
    5,896x = 22,671,817.01
  5. Step 5: Solve for x
    x = 22,671,817.01/5,896
  6. Step 6: Final answer
    x = 3,845.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.