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Finding the Fourth Proportional to 3,796.58, 5,237.17 and 2,224.37

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Solution

The fourth proportional to 3,796.58, 5,237.17 and 2,224.37 is: 3,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.58 : 5,237.17 = 2,224.37 : x
  2. Step 2: Convert to fraction form
    3,796.58/5,237.17 = 2,224.37/x
  3. Step 3: Cross multiply
    3,796.58x = 5,237.17 × 2,224.37
  4. Step 4: Simplify right side
    3,796.58x = 11,649,372.09
  5. Step 5: Solve for x
    x = 11,649,372.09/3,796.58
  6. Step 6: Final answer
    x = 3,068.39

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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.