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Finding the Fourth Proportional to 6,164.66, 8,507.97 and 3,476.39

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Solution

The fourth proportional to 6,164.66, 8,507.97 and 3,476.39 is: 4,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.66 : 8,507.97 = 3,476.39 : x
  2. Step 2: Convert to fraction form
    6,164.66/8,507.97 = 3,476.39/x
  3. Step 3: Cross multiply
    6,164.66x = 8,507.97 × 3,476.39
  4. Step 4: Simplify right side
    6,164.66x = 29,576,979.29
  5. Step 5: Solve for x
    x = 29,576,979.29/6,164.66
  6. Step 6: Final answer
    x = 4,797.83

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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.