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Finding the Fourth Proportional to 3,965.73, 5,472.73 and 2,197.43

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Solution

The fourth proportional to 3,965.73, 5,472.73 and 2,197.43 is: 3,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.73 : 5,472.73 = 2,197.43 : x
  2. Step 2: Convert to fraction form
    3,965.73/5,472.73 = 2,197.43/x
  3. Step 3: Cross multiply
    3,965.73x = 5,472.73 × 2,197.43
  4. Step 4: Simplify right side
    3,965.73x = 12,025,941.08
  5. Step 5: Solve for x
    x = 12,025,941.08/3,965.73
  6. Step 6: Final answer
    x = 3,032.47

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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.