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Finding the Fourth Proportional to 4,105.17, 6,157.71 and 1,027.17

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Solution

The fourth proportional to 4,105.17, 6,157.71 and 1,027.17 is: 1,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.17 : 6,157.71 = 1,027.17 : x
  2. Step 2: Convert to fraction form
    4,105.17/6,157.71 = 1,027.17/x
  3. Step 3: Cross multiply
    4,105.17x = 6,157.71 × 1,027.17
  4. Step 4: Simplify right side
    4,105.17x = 6,325,014.98
  5. Step 5: Solve for x
    x = 6,325,014.98/4,105.17
  6. Step 6: Final answer
    x = 1,540.74

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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.