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Finding the Fourth Proportional to 5,806.91, 8,014.82 and 3,817.67

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Solution

The fourth proportional to 5,806.91, 8,014.82 and 3,817.67 is: 5,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.91 : 8,014.82 = 3,817.67 : x
  2. Step 2: Convert to fraction form
    5,806.91/8,014.82 = 3,817.67/x
  3. Step 3: Cross multiply
    5,806.91x = 8,014.82 × 3,817.67
  4. Step 4: Simplify right side
    5,806.91x = 30,597,878.71
  5. Step 5: Solve for x
    x = 30,597,878.71/5,806.91
  6. Step 6: Final answer
    x = 5,269.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.