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Finding the Fourth Proportional to 3,949.44, 5,926.08 and 3,085.44

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Solution

The fourth proportional to 3,949.44, 5,926.08 and 3,085.44 is: 4,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.44 : 5,926.08 = 3,085.44 : x
  2. Step 2: Convert to fraction form
    3,949.44/5,926.08 = 3,085.44/x
  3. Step 3: Cross multiply
    3,949.44x = 5,926.08 × 3,085.44
  4. Step 4: Simplify right side
    3,949.44x = 18,284,564.28
  5. Step 5: Solve for x
    x = 18,284,564.28/3,949.44
  6. Step 6: Final answer
    x = 4,629.66

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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.