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Finding the Fourth Proportional to 3,965.00, 5,471.87 and 2,196.61

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Solution

The fourth proportional to 3,965.00, 5,471.87 and 2,196.61 is: 3,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.00 : 5,471.87 = 2,196.61 : x
  2. Step 2: Convert to fraction form
    3,965.00/5,471.87 = 2,196.61/x
  3. Step 3: Cross multiply
    3,965.00x = 5,471.87 × 2,196.61
  4. Step 4: Simplify right side
    3,965.00x = 12,019,539.70
  5. Step 5: Solve for x
    x = 12,019,539.70/3,965.00
  6. Step 6: Final answer
    x = 3,031.41

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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.