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Finding the Fourth Proportional to 3,292.18, 4,940.21 and 1,213.64

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Solution

The fourth proportional to 3,292.18, 4,940.21 and 1,213.64 is: 1,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.18 : 4,940.21 = 1,213.64 : x
  2. Step 2: Convert to fraction form
    3,292.18/4,940.21 = 1,213.64/x
  3. Step 3: Cross multiply
    3,292.18x = 4,940.21 × 1,213.64
  4. Step 4: Simplify right side
    3,292.18x = 5,995,636.46
  5. Step 5: Solve for x
    x = 5,995,636.46/3,292.18
  6. Step 6: Final answer
    x = 1,821.18

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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.