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Finding the Fourth Proportional to 5,861.64, 8,089.07 and 3,209.05

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Solution

The fourth proportional to 5,861.64, 8,089.07 and 3,209.05 is: 4,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.64 : 8,089.07 = 3,209.05 : x
  2. Step 2: Convert to fraction form
    5,861.64/8,089.07 = 3,209.05/x
  3. Step 3: Cross multiply
    5,861.64x = 8,089.07 × 3,209.05
  4. Step 4: Simplify right side
    5,861.64x = 25,958,190.02
  5. Step 5: Solve for x
    x = 25,958,190.02/5,861.64
  6. Step 6: Final answer
    x = 4,428.49

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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.