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Finding the Fourth Proportional to 3,423.92, 5,138 and 2,192.21

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Solution

The fourth proportional to 3,423.92, 5,138 and 2,192.21 is: 3,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.92 : 5,138 = 2,192.21 : x
  2. Step 2: Convert to fraction form
    3,423.92/5,138 = 2,192.21/x
  3. Step 3: Cross multiply
    3,423.92x = 5,138 × 2,192.21
  4. Step 4: Simplify right side
    3,423.92x = 11,263,574.98
  5. Step 5: Solve for x
    x = 11,263,574.98/3,423.92
  6. Step 6: Final answer
    x = 3,289.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.