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Finding the Fourth Proportional to 5,754.28, 7,930.38 and 4,179.64

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Solution

The fourth proportional to 5,754.28, 7,930.38 and 4,179.64 is: 5,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.28 : 7,930.38 = 4,179.64 : x
  2. Step 2: Convert to fraction form
    5,754.28/7,930.38 = 4,179.64/x
  3. Step 3: Cross multiply
    5,754.28x = 7,930.38 × 4,179.64
  4. Step 4: Simplify right side
    5,754.28x = 33,146,133.46
  5. Step 5: Solve for x
    x = 33,146,133.46/5,754.28
  6. Step 6: Final answer
    x = 5,760.26

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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.