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Finding the Fourth Proportional to 3,965.82, 5,472.82 and 2,197.54

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Solution

The fourth proportional to 3,965.82, 5,472.82 and 2,197.54 is: 3,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.82 : 5,472.82 = 2,197.54 : x
  2. Step 2: Convert to fraction form
    3,965.82/5,472.82 = 2,197.54/x
  3. Step 3: Cross multiply
    3,965.82x = 5,472.82 × 2,197.54
  4. Step 4: Simplify right side
    3,965.82x = 12,026,740.86
  5. Step 5: Solve for x
    x = 12,026,740.86/3,965.82
  6. Step 6: Final answer
    x = 3,032.60

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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.