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Finding the Fourth Proportional to 3,216.72, 4,825.14 and 1,027.29

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Solution

The fourth proportional to 3,216.72, 4,825.14 and 1,027.29 is: 1,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.72 : 4,825.14 = 1,027.29 : x
  2. Step 2: Convert to fraction form
    3,216.72/4,825.14 = 1,027.29/x
  3. Step 3: Cross multiply
    3,216.72x = 4,825.14 × 1,027.29
  4. Step 4: Simplify right side
    3,216.72x = 4,956,818.07
  5. Step 5: Solve for x
    x = 4,956,818.07/3,216.72
  6. Step 6: Final answer
    x = 1,540.95

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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.