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Finding the Fourth Proportional to 3,965.74, 5,472.66 and 2,197.32

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Solution

The fourth proportional to 3,965.74, 5,472.66 and 2,197.32 is: 3,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.74 : 5,472.66 = 2,197.32 : x
  2. Step 2: Convert to fraction form
    3,965.74/5,472.66 = 2,197.32/x
  3. Step 3: Cross multiply
    3,965.74x = 5,472.66 × 2,197.32
  4. Step 4: Simplify right side
    3,965.74x = 12,025,185.27
  5. Step 5: Solve for x
    x = 12,025,185.27/3,965.74
  6. Step 6: Final answer
    x = 3,032.27

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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.