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Finding the Fourth Proportional to 4,200.22, 5,789.17 and 2,871.62

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Solution

The fourth proportional to 4,200.22, 5,789.17 and 2,871.62 is: 3,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.22 : 5,789.17 = 2,871.62 : x
  2. Step 2: Convert to fraction form
    4,200.22/5,789.17 = 2,871.62/x
  3. Step 3: Cross multiply
    4,200.22x = 5,789.17 × 2,871.62
  4. Step 4: Simplify right side
    4,200.22x = 16,624,296.36
  5. Step 5: Solve for x
    x = 16,624,296.36/4,200.22
  6. Step 6: Final answer
    x = 3,957.96

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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.