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Finding the Fourth Proportional to 5,861.68, 8,088.78 and 3,209.14

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Solution

The fourth proportional to 5,861.68, 8,088.78 and 3,209.14 is: 4,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.68 : 8,088.78 = 3,209.14 : x
  2. Step 2: Convert to fraction form
    5,861.68/8,088.78 = 3,209.14/x
  3. Step 3: Cross multiply
    5,861.68x = 8,088.78 × 3,209.14
  4. Step 4: Simplify right side
    5,861.68x = 25,958,027.45
  5. Step 5: Solve for x
    x = 25,958,027.45/5,861.68
  6. Step 6: Final answer
    x = 4,428.43

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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.