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Finding the Fourth Proportional to 3,974.33, 5,961.49 and 1,377.26

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Solution

The fourth proportional to 3,974.33, 5,961.49 and 1,377.26 is: 2,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.33 : 5,961.49 = 1,377.26 : x
  2. Step 2: Convert to fraction form
    3,974.33/5,961.49 = 1,377.26/x
  3. Step 3: Cross multiply
    3,974.33x = 5,961.49 × 1,377.26
  4. Step 4: Simplify right side
    3,974.33x = 8,210,533.18
  5. Step 5: Solve for x
    x = 8,210,533.18/3,974.33
  6. Step 6: Final answer
    x = 2,065.89

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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.