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Finding the Fourth Proportional to 5,399.70, 7,451.34 and 3,042.30

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Solution

The fourth proportional to 5,399.70, 7,451.34 and 3,042.30 is: 4,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.70 : 7,451.34 = 3,042.30 : x
  2. Step 2: Convert to fraction form
    5,399.70/7,451.34 = 3,042.30/x
  3. Step 3: Cross multiply
    5,399.70x = 7,451.34 × 3,042.30
  4. Step 4: Simplify right side
    5,399.70x = 22,669,211.68
  5. Step 5: Solve for x
    x = 22,669,211.68/5,399.70
  6. Step 6: Final answer
    x = 4,198.24

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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.