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Finding the Fourth Proportional to 3,896.56, 5,844.20 and 1,122.60

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Solution

The fourth proportional to 3,896.56, 5,844.20 and 1,122.60 is: 1,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.56 : 5,844.20 = 1,122.60 : x
  2. Step 2: Convert to fraction form
    3,896.56/5,844.20 = 1,122.60/x
  3. Step 3: Cross multiply
    3,896.56x = 5,844.20 × 1,122.60
  4. Step 4: Simplify right side
    3,896.56x = 6,560,698.92
  5. Step 5: Solve for x
    x = 6,560,698.92/3,896.56
  6. Step 6: Final answer
    x = 1,683.72

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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.