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Finding the Fourth Proportional to 3,806.12, 5,711.11 and 1,586.59

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Solution

The fourth proportional to 3,806.12, 5,711.11 and 1,586.59 is: 2,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.12 : 5,711.11 = 1,586.59 : x
  2. Step 2: Convert to fraction form
    3,806.12/5,711.11 = 1,586.59/x
  3. Step 3: Cross multiply
    3,806.12x = 5,711.11 × 1,586.59
  4. Step 4: Simplify right side
    3,806.12x = 9,061,171.77
  5. Step 5: Solve for x
    x = 9,061,171.77/3,806.12
  6. Step 6: Final answer
    x = 2,380.68

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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.