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Finding the Fourth Proportional to 3,164.62, 4,738.82 and 2,192.62

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Solution

The fourth proportional to 3,164.62, 4,738.82 and 2,192.62 is: 3,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.62 : 4,738.82 = 2,192.62 : x
  2. Step 2: Convert to fraction form
    3,164.62/4,738.82 = 2,192.62/x
  3. Step 3: Cross multiply
    3,164.62x = 4,738.82 × 2,192.62
  4. Step 4: Simplify right side
    3,164.62x = 10,390,431.51
  5. Step 5: Solve for x
    x = 10,390,431.51/3,164.62
  6. Step 6: Final answer
    x = 3,283.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.