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Finding the Fourth Proportional to 4,129, 6,194.46 and 1,393

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Solution

The fourth proportional to 4,129, 6,194.46 and 1,393 is: 2,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129 : 6,194.46 = 1,393 : x
  2. Step 2: Convert to fraction form
    4,129/6,194.46 = 1,393/x
  3. Step 3: Cross multiply
    4,129x = 6,194.46 × 1,393
  4. Step 4: Simplify right side
    4,129x = 8,628,882.78
  5. Step 5: Solve for x
    x = 8,628,882.78/4,129
  6. Step 6: Final answer
    x = 2,089.82

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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.