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Finding the Fourth Proportional to 3,105.42, 4,660.14 and 2,855.12

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Solution

The fourth proportional to 3,105.42, 4,660.14 and 2,855.12 is: 4,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.42 : 4,660.14 = 2,855.12 : x
  2. Step 2: Convert to fraction form
    3,105.42/4,660.14 = 2,855.12/x
  3. Step 3: Cross multiply
    3,105.42x = 4,660.14 × 2,855.12
  4. Step 4: Simplify right side
    3,105.42x = 13,305,258.92
  5. Step 5: Solve for x
    x = 13,305,258.92/3,105.42
  6. Step 6: Final answer
    x = 4,284.53

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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.