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Finding the Fourth Proportional to 6,238.35, 8,609.12 and 3,586.29

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Solution

The fourth proportional to 6,238.35, 8,609.12 and 3,586.29 is: 4,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.35 : 8,609.12 = 3,586.29 : x
  2. Step 2: Convert to fraction form
    6,238.35/8,609.12 = 3,586.29/x
  3. Step 3: Cross multiply
    6,238.35x = 8,609.12 × 3,586.29
  4. Step 4: Simplify right side
    6,238.35x = 30,874,800.96
  5. Step 5: Solve for x
    x = 30,874,800.96/6,238.35
  6. Step 6: Final answer
    x = 4,949.19

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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.