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Finding the Fourth Proportional to 6,238.58, 8,609.56 and 3,586.23

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Solution

The fourth proportional to 6,238.58, 8,609.56 and 3,586.23 is: 4,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.58 : 8,609.56 = 3,586.23 : x
  2. Step 2: Convert to fraction form
    6,238.58/8,609.56 = 3,586.23/x
  3. Step 3: Cross multiply
    6,238.58x = 8,609.56 × 3,586.23
  4. Step 4: Simplify right side
    6,238.58x = 30,875,853.39
  5. Step 5: Solve for x
    x = 30,875,853.39/6,238.58
  6. Step 6: Final answer
    x = 4,949.18

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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.