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Finding the Fourth Proportional to 3,824.70, 5,278.17 and 2,146.23

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Solution

The fourth proportional to 3,824.70, 5,278.17 and 2,146.23 is: 2,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.70 : 5,278.17 = 2,146.23 : x
  2. Step 2: Convert to fraction form
    3,824.70/5,278.17 = 2,146.23/x
  3. Step 3: Cross multiply
    3,824.70x = 5,278.17 × 2,146.23
  4. Step 4: Simplify right side
    3,824.70x = 11,328,174.85
  5. Step 5: Solve for x
    x = 11,328,174.85/3,824.70
  6. Step 6: Final answer
    x = 2,961.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.