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Finding the Fourth Proportional to 3,471.66, 5,163.21 and 3,384.09

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Solution

The fourth proportional to 3,471.66, 5,163.21 and 3,384.09 is: 5,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.66 : 5,163.21 = 3,384.09 : x
  2. Step 2: Convert to fraction form
    3,471.66/5,163.21 = 3,384.09/x
  3. Step 3: Cross multiply
    3,471.66x = 5,163.21 × 3,384.09
  4. Step 4: Simplify right side
    3,471.66x = 17,472,767.33
  5. Step 5: Solve for x
    x = 17,472,767.33/3,471.66
  6. Step 6: Final answer
    x = 5,032.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.