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Finding the Fourth Proportional to 4,096.26, 5,652.84 and 2,327.82

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Solution

The fourth proportional to 4,096.26, 5,652.84 and 2,327.82 is: 3,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.26 : 5,652.84 = 2,327.82 : x
  2. Step 2: Convert to fraction form
    4,096.26/5,652.84 = 2,327.82/x
  3. Step 3: Cross multiply
    4,096.26x = 5,652.84 × 2,327.82
  4. Step 4: Simplify right side
    4,096.26x = 13,158,794.01
  5. Step 5: Solve for x
    x = 13,158,794.01/4,096.26
  6. Step 6: Final answer
    x = 3,212.39

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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.