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Finding the Fourth Proportional to 5,469.26, 8,185.65 and 3,962.06

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Solution

The fourth proportional to 5,469.26, 8,185.65 and 3,962.06 is: 5,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.26 : 8,185.65 = 3,962.06 : x
  2. Step 2: Convert to fraction form
    5,469.26/8,185.65 = 3,962.06/x
  3. Step 3: Cross multiply
    5,469.26x = 8,185.65 × 3,962.06
  4. Step 4: Simplify right side
    5,469.26x = 32,431,995.51
  5. Step 5: Solve for x
    x = 32,431,995.51/5,469.26
  6. Step 6: Final answer
    x = 5,929.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.