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Finding the Fourth Proportional to 3,555.72, 4,906.92 and 1,984.20

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Solution

The fourth proportional to 3,555.72, 4,906.92 and 1,984.20 is: 2,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555.72 : 4,906.92 = 1,984.20 : x
  2. Step 2: Convert to fraction form
    3,555.72/4,906.92 = 1,984.20/x
  3. Step 3: Cross multiply
    3,555.72x = 4,906.92 × 1,984.20
  4. Step 4: Simplify right side
    3,555.72x = 9,736,310.66
  5. Step 5: Solve for x
    x = 9,736,310.66/3,555.72
  6. Step 6: Final answer
    x = 2,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.