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Finding the Fourth Proportional to 3,965.04, 5,471.79 and 2,196.69

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Solution

The fourth proportional to 3,965.04, 5,471.79 and 2,196.69 is: 3,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.04 : 5,471.79 = 2,196.69 : x
  2. Step 2: Convert to fraction form
    3,965.04/5,471.79 = 2,196.69/x
  3. Step 3: Cross multiply
    3,965.04x = 5,471.79 × 2,196.69
  4. Step 4: Simplify right side
    3,965.04x = 12,019,826.38
  5. Step 5: Solve for x
    x = 12,019,826.38/3,965.04
  6. Step 6: Final answer
    x = 3,031.45

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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.