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Finding the Fourth Proportional to 4,096, 5,652.72 and 2,327.68

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Solution

The fourth proportional to 4,096, 5,652.72 and 2,327.68 is: 3,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 5,652.72 = 2,327.68 : x
  2. Step 2: Convert to fraction form
    4,096/5,652.72 = 2,327.68/x
  3. Step 3: Cross multiply
    4,096x = 5,652.72 × 2,327.68
  4. Step 4: Simplify right side
    4,096x = 13,157,723.29
  5. Step 5: Solve for x
    x = 13,157,723.29/4,096
  6. Step 6: Final answer
    x = 3,212.33

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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.