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Finding the Fourth Proportional to 3,199.72, 4,796.94 and 1,352.26

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Solution

The fourth proportional to 3,199.72, 4,796.94 and 1,352.26 is: 2,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.72 : 4,796.94 = 1,352.26 : x
  2. Step 2: Convert to fraction form
    3,199.72/4,796.94 = 1,352.26/x
  3. Step 3: Cross multiply
    3,199.72x = 4,796.94 × 1,352.26
  4. Step 4: Simplify right side
    3,199.72x = 6,486,710.08
  5. Step 5: Solve for x
    x = 6,486,710.08/3,199.72
  6. Step 6: Final answer
    x = 2,027.27

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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.