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Finding the Fourth Proportional to 4,120.64, 5,695.82 and 3,793.68

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Solution

The fourth proportional to 4,120.64, 5,695.82 and 3,793.68 is: 5,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.64 : 5,695.82 = 3,793.68 : x
  2. Step 2: Convert to fraction form
    4,120.64/5,695.82 = 3,793.68/x
  3. Step 3: Cross multiply
    4,120.64x = 5,695.82 × 3,793.68
  4. Step 4: Simplify right side
    4,120.64x = 21,608,099.45
  5. Step 5: Solve for x
    x = 21,608,099.45/4,120.64
  6. Step 6: Final answer
    x = 5,243.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.