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Finding the Fourth Proportional to 3,965.83, 5,472.86 and 2,197.39

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Solution

The fourth proportional to 3,965.83, 5,472.86 and 2,197.39 is: 3,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.83 : 5,472.86 = 2,197.39 : x
  2. Step 2: Convert to fraction form
    3,965.83/5,472.86 = 2,197.39/x
  3. Step 3: Cross multiply
    3,965.83x = 5,472.86 × 2,197.39
  4. Step 4: Simplify right side
    3,965.83x = 12,026,007.84
  5. Step 5: Solve for x
    x = 12,026,007.84/3,965.83
  6. Step 6: Final answer
    x = 3,032.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.