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Finding the Fourth Proportional to 3,662.73, 5,054.52 and 1,984.11

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Solution

The fourth proportional to 3,662.73, 5,054.52 and 1,984.11 is: 2,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.73 : 5,054.52 = 1,984.11 : x
  2. Step 2: Convert to fraction form
    3,662.73/5,054.52 = 1,984.11/x
  3. Step 3: Cross multiply
    3,662.73x = 5,054.52 × 1,984.11
  4. Step 4: Simplify right side
    3,662.73x = 10,028,723.68
  5. Step 5: Solve for x
    x = 10,028,723.68/3,662.73
  6. Step 6: Final answer
    x = 2,738.05

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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.