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Finding the Fourth Proportional to 5,861.96, 8,089.70 and 3,209.37

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Solution

The fourth proportional to 5,861.96, 8,089.70 and 3,209.37 is: 4,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.96 : 8,089.70 = 3,209.37 : x
  2. Step 2: Convert to fraction form
    5,861.96/8,089.70 = 3,209.37/x
  3. Step 3: Cross multiply
    5,861.96x = 8,089.70 × 3,209.37
  4. Step 4: Simplify right side
    5,861.96x = 25,962,840.49
  5. Step 5: Solve for x
    x = 25,962,840.49/5,861.96
  6. Step 6: Final answer
    x = 4,429.04

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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.