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Finding the Fourth Proportional to 4,105.08, 6,157.62 and 1,027.08

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Solution

The fourth proportional to 4,105.08, 6,157.62 and 1,027.08 is: 1,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.08 : 6,157.62 = 1,027.08 : x
  2. Step 2: Convert to fraction form
    4,105.08/6,157.62 = 1,027.08/x
  3. Step 3: Cross multiply
    4,105.08x = 6,157.62 × 1,027.08
  4. Step 4: Simplify right side
    4,105.08x = 6,324,368.35
  5. Step 5: Solve for x
    x = 6,324,368.35/4,105.08
  6. Step 6: Final answer
    x = 1,540.62

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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.