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Finding the Fourth Proportional to 3,796.04, 5,215.90 and 3,096.20

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Solution

The fourth proportional to 3,796.04, 5,215.90 and 3,096.20 is: 4,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.04 : 5,215.90 = 3,096.20 : x
  2. Step 2: Convert to fraction form
    3,796.04/5,215.90 = 3,096.20/x
  3. Step 3: Cross multiply
    3,796.04x = 5,215.90 × 3,096.20
  4. Step 4: Simplify right side
    3,796.04x = 16,149,469.58
  5. Step 5: Solve for x
    x = 16,149,469.58/3,796.04
  6. Step 6: Final answer
    x = 4,254.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.