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Finding the Fourth Proportional to 3,822.68, 5,274.85 and 2,143.86

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Solution

The fourth proportional to 3,822.68, 5,274.85 and 2,143.86 is: 2,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.68 : 5,274.85 = 2,143.86 : x
  2. Step 2: Convert to fraction form
    3,822.68/5,274.85 = 2,143.86/x
  3. Step 3: Cross multiply
    3,822.68x = 5,274.85 × 2,143.86
  4. Step 4: Simplify right side
    3,822.68x = 11,308,539.92
  5. Step 5: Solve for x
    x = 11,308,539.92/3,822.68
  6. Step 6: Final answer
    x = 2,958.28

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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.