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Finding the Fourth Proportional to 3,822.68, 5,276.39 and 2,251.68

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Solution

The fourth proportional to 3,822.68, 5,276.39 and 2,251.68 is: 3,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.68 : 5,276.39 = 2,251.68 : x
  2. Step 2: Convert to fraction form
    3,822.68/5,276.39 = 2,251.68/x
  3. Step 3: Cross multiply
    3,822.68x = 5,276.39 × 2,251.68
  4. Step 4: Simplify right side
    3,822.68x = 11,880,741.84
  5. Step 5: Solve for x
    x = 11,880,741.84/3,822.68
  6. Step 6: Final answer
    x = 3,107.96

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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.