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Finding the Fourth Proportional to 4,138.46, 6,219.04 and 2,192.04

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Solution

The fourth proportional to 4,138.46, 6,219.04 and 2,192.04 is: 3,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.46 : 6,219.04 = 2,192.04 : x
  2. Step 2: Convert to fraction form
    4,138.46/6,219.04 = 2,192.04/x
  3. Step 3: Cross multiply
    4,138.46x = 6,219.04 × 2,192.04
  4. Step 4: Simplify right side
    4,138.46x = 13,632,384.44
  5. Step 5: Solve for x
    x = 13,632,384.44/4,138.46
  6. Step 6: Final answer
    x = 3,294.07

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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.