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Finding the Fourth Proportional to 3,806.06, 5,701.34 and 3,105.78

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Solution

The fourth proportional to 3,806.06, 5,701.34 and 3,105.78 is: 4,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.06 : 5,701.34 = 3,105.78 : x
  2. Step 2: Convert to fraction form
    3,806.06/5,701.34 = 3,105.78/x
  3. Step 3: Cross multiply
    3,806.06x = 5,701.34 × 3,105.78
  4. Step 4: Simplify right side
    3,806.06x = 17,707,107.75
  5. Step 5: Solve for x
    x = 17,707,107.75/3,806.06
  6. Step 6: Final answer
    x = 4,652.35

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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.