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Finding the Fourth Proportional to 3,969.74, 5,478.24 and 2,201.34

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Solution

The fourth proportional to 3,969.74, 5,478.24 and 2,201.34 is: 3,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.74 : 5,478.24 = 2,201.34 : x
  2. Step 2: Convert to fraction form
    3,969.74/5,478.24 = 2,201.34/x
  3. Step 3: Cross multiply
    3,969.74x = 5,478.24 × 2,201.34
  4. Step 4: Simplify right side
    3,969.74x = 12,059,468.84
  5. Step 5: Solve for x
    x = 12,059,468.84/3,969.74
  6. Step 6: Final answer
    x = 3,037.85

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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.