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Finding the Fourth Proportional to 3,626.56, 5,439.52 and 1,029.44

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Solution

The fourth proportional to 3,626.56, 5,439.52 and 1,029.44 is: 1,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.56 : 5,439.52 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    3,626.56/5,439.52 = 1,029.44/x
  3. Step 3: Cross multiply
    3,626.56x = 5,439.52 × 1,029.44
  4. Step 4: Simplify right side
    3,626.56x = 5,599,659.47
  5. Step 5: Solve for x
    x = 5,599,659.47/3,626.56
  6. Step 6: Final answer
    x = 1,544.07

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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.