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Finding the Fourth Proportional to 3,965.84, 5,472.89 and 2,197.48

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Solution

The fourth proportional to 3,965.84, 5,472.89 and 2,197.48 is: 3,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.84 : 5,472.89 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    3,965.84/5,472.89 = 2,197.48/x
  3. Step 3: Cross multiply
    3,965.84x = 5,472.89 × 2,197.48
  4. Step 4: Simplify right side
    3,965.84x = 12,026,566.33
  5. Step 5: Solve for x
    x = 12,026,566.33/3,965.84
  6. Step 6: Final answer
    x = 3,032.54

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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.