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Finding the Fourth Proportional to 3,971.82, 5,481.02 and 2,203.49

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Solution

The fourth proportional to 3,971.82, 5,481.02 and 2,203.49 is: 3,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.82 : 5,481.02 = 2,203.49 : x
  2. Step 2: Convert to fraction form
    3,971.82/5,481.02 = 2,203.49/x
  3. Step 3: Cross multiply
    3,971.82x = 5,481.02 × 2,203.49
  4. Step 4: Simplify right side
    3,971.82x = 12,077,334.34
  5. Step 5: Solve for x
    x = 12,077,334.34/3,971.82
  6. Step 6: Final answer
    x = 3,040.76

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1.5x scale

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.