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Finding the Fourth Proportional to 3,822.32, 5,274.61 and 2,250.31

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Solution

The fourth proportional to 3,822.32, 5,274.61 and 2,250.31 is: 3,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.32 : 5,274.61 = 2,250.31 : x
  2. Step 2: Convert to fraction form
    3,822.32/5,274.61 = 2,250.31/x
  3. Step 3: Cross multiply
    3,822.32x = 5,274.61 × 2,250.31
  4. Step 4: Simplify right side
    3,822.32x = 11,869,507.63
  5. Step 5: Solve for x
    x = 11,869,507.63/3,822.32
  6. Step 6: Final answer
    x = 3,105.31

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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.