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Finding the Fourth Proportional to 3,949.38, 5,926.38 and 3,546

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Solution

The fourth proportional to 3,949.38, 5,926.38 and 3,546 is: 5,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.38 : 5,926.38 = 3,546 : x
  2. Step 2: Convert to fraction form
    3,949.38/5,926.38 = 3,546/x
  3. Step 3: Cross multiply
    3,949.38x = 5,926.38 × 3,546
  4. Step 4: Simplify right side
    3,949.38x = 21,014,943.48
  5. Step 5: Solve for x
    x = 21,014,943.48/3,949.38
  6. Step 6: Final answer
    x = 5,321.07

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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.