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Finding the Fourth Proportional to 3,824.64, 5,735.76 and 1,227

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Solution

The fourth proportional to 3,824.64, 5,735.76 and 1,227 is: 1,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.64 : 5,735.76 = 1,227 : x
  2. Step 2: Convert to fraction form
    3,824.64/5,735.76 = 1,227/x
  3. Step 3: Cross multiply
    3,824.64x = 5,735.76 × 1,227
  4. Step 4: Simplify right side
    3,824.64x = 7,037,777.52
  5. Step 5: Solve for x
    x = 7,037,777.52/3,824.64
  6. Step 6: Final answer
    x = 1,840.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.