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Finding the Fourth Proportional to 6,094.24, 8,410.06 and 3,299.74

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Solution

The fourth proportional to 6,094.24, 8,410.06 and 3,299.74 is: 4,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.24 : 8,410.06 = 3,299.74 : x
  2. Step 2: Convert to fraction form
    6,094.24/8,410.06 = 3,299.74/x
  3. Step 3: Cross multiply
    6,094.24x = 8,410.06 × 3,299.74
  4. Step 4: Simplify right side
    6,094.24x = 27,751,011.38
  5. Step 5: Solve for x
    x = 27,751,011.38/6,094.24
  6. Step 6: Final answer
    x = 4,553.65

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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.