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Finding the Fourth Proportional to 3,821.78, 5,274.32 and 2,143.50

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Solution

The fourth proportional to 3,821.78, 5,274.32 and 2,143.50 is: 2,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.78 : 5,274.32 = 2,143.50 : x
  2. Step 2: Convert to fraction form
    3,821.78/5,274.32 = 2,143.50/x
  3. Step 3: Cross multiply
    3,821.78x = 5,274.32 × 2,143.50
  4. Step 4: Simplify right side
    3,821.78x = 11,305,504.92
  5. Step 5: Solve for x
    x = 11,305,504.92/3,821.78
  6. Step 6: Final answer
    x = 2,958.18

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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.