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Finding the Fourth Proportional to 3,965.17, 5,471.94 and 2,196.76

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Solution

The fourth proportional to 3,965.17, 5,471.94 and 2,196.76 is: 3,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.17 : 5,471.94 = 2,196.76 : x
  2. Step 2: Convert to fraction form
    3,965.17/5,471.94 = 2,196.76/x
  3. Step 3: Cross multiply
    3,965.17x = 5,471.94 × 2,196.76
  4. Step 4: Simplify right side
    3,965.17x = 12,020,538.91
  5. Step 5: Solve for x
    x = 12,020,538.91/3,965.17
  6. Step 6: Final answer
    x = 3,031.53

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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.