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Finding the Fourth Proportional to 3,969.16, 5,477.76 and 2,200.73

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Solution

The fourth proportional to 3,969.16, 5,477.76 and 2,200.73 is: 3,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.16 : 5,477.76 = 2,200.73 : x
  2. Step 2: Convert to fraction form
    3,969.16/5,477.76 = 2,200.73/x
  3. Step 3: Cross multiply
    3,969.16x = 5,477.76 × 2,200.73
  4. Step 4: Simplify right side
    3,969.16x = 12,055,043.38
  5. Step 5: Solve for x
    x = 12,055,043.38/3,969.16
  6. Step 6: Final answer
    x = 3,037.18

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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.