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Finding the Fourth Proportional to 5,806.62, 8,013.78 and 3,682.80

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Solution

The fourth proportional to 5,806.62, 8,013.78 and 3,682.80 is: 5,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.62 : 8,013.78 = 3,682.80 : x
  2. Step 2: Convert to fraction form
    5,806.62/8,013.78 = 3,682.80/x
  3. Step 3: Cross multiply
    5,806.62x = 8,013.78 × 3,682.80
  4. Step 4: Simplify right side
    5,806.62x = 29,513,148.98
  5. Step 5: Solve for x
    x = 29,513,148.98/5,806.62
  6. Step 6: Final answer
    x = 5,082.67

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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.