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Finding the Fourth Proportional to 3,471.36, 5,227.62 and 3,128.64

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Solution

The fourth proportional to 3,471.36, 5,227.62 and 3,128.64 is: 4,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.36 : 5,227.62 = 3,128.64 : x
  2. Step 2: Convert to fraction form
    3,471.36/5,227.62 = 3,128.64/x
  3. Step 3: Cross multiply
    3,471.36x = 5,227.62 × 3,128.64
  4. Step 4: Simplify right side
    3,471.36x = 16,355,341.04
  5. Step 5: Solve for x
    x = 16,355,341.04/3,471.36
  6. Step 6: Final answer
    x = 4,711.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.