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Finding the Fourth Proportional to 3,216.92, 4,825.58 and 1,027.08

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Solution

The fourth proportional to 3,216.92, 4,825.58 and 1,027.08 is: 1,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.92 : 4,825.58 = 1,027.08 : x
  2. Step 2: Convert to fraction form
    3,216.92/4,825.58 = 1,027.08/x
  3. Step 3: Cross multiply
    3,216.92x = 4,825.58 × 1,027.08
  4. Step 4: Simplify right side
    3,216.92x = 4,956,251.57
  5. Step 5: Solve for x
    x = 4,956,251.57/3,216.92
  6. Step 6: Final answer
    x = 1,540.68

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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.