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Finding the Fourth Proportional to 3,965.07, 5,471.91 and 2,196.84

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Solution

The fourth proportional to 3,965.07, 5,471.91 and 2,196.84 is: 3,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.07 : 5,471.91 = 2,196.84 : x
  2. Step 2: Convert to fraction form
    3,965.07/5,471.91 = 2,196.84/x
  3. Step 3: Cross multiply
    3,965.07x = 5,471.91 × 2,196.84
  4. Step 4: Simplify right side
    3,965.07x = 12,020,910.76
  5. Step 5: Solve for x
    x = 12,020,910.76/3,965.07
  6. Step 6: Final answer
    x = 3,031.70

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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.