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Finding the Fourth Proportional to 6,192.28, 8,546.84 and 3,833

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Solution

The fourth proportional to 6,192.28, 8,546.84 and 3,833 is: 5,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.28 : 8,546.84 = 3,833 : x
  2. Step 2: Convert to fraction form
    6,192.28/8,546.84 = 3,833/x
  3. Step 3: Cross multiply
    6,192.28x = 8,546.84 × 3,833
  4. Step 4: Simplify right side
    6,192.28x = 32,760,037.72
  5. Step 5: Solve for x
    x = 32,760,037.72/6,192.28
  6. Step 6: Final answer
    x = 5,290.46

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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.