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Finding the Fourth Proportional to 5,861.62, 8,089.26 and 3,209.26

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Solution

The fourth proportional to 5,861.62, 8,089.26 and 3,209.26 is: 4,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.62 : 8,089.26 = 3,209.26 : x
  2. Step 2: Convert to fraction form
    5,861.62/8,089.26 = 3,209.26/x
  3. Step 3: Cross multiply
    5,861.62x = 8,089.26 × 3,209.26
  4. Step 4: Simplify right side
    5,861.62x = 25,960,538.55
  5. Step 5: Solve for x
    x = 25,960,538.55/5,861.62
  6. Step 6: Final answer
    x = 4,428.90

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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.