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Finding the Fourth Proportional to 3,257.96, 4,886.06 and 1,067.31

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Solution

The fourth proportional to 3,257.96, 4,886.06 and 1,067.31 is: 1,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.96 : 4,886.06 = 1,067.31 : x
  2. Step 2: Convert to fraction form
    3,257.96/4,886.06 = 1,067.31/x
  3. Step 3: Cross multiply
    3,257.96x = 4,886.06 × 1,067.31
  4. Step 4: Simplify right side
    3,257.96x = 5,214,935.36
  5. Step 5: Solve for x
    x = 5,214,935.36/3,257.96
  6. Step 6: Final answer
    x = 1,600.68

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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.