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Finding the Fourth Proportional to 3,974.34, 5,961.33 and 1,377.48

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Solution

The fourth proportional to 3,974.34, 5,961.33 and 1,377.48 is: 2,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.34 : 5,961.33 = 1,377.48 : x
  2. Step 2: Convert to fraction form
    3,974.34/5,961.33 = 1,377.48/x
  3. Step 3: Cross multiply
    3,974.34x = 5,961.33 × 1,377.48
  4. Step 4: Simplify right side
    3,974.34x = 8,211,612.85
  5. Step 5: Solve for x
    x = 8,211,612.85/3,974.34
  6. Step 6: Final answer
    x = 2,066.16

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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.