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Finding the Fourth Proportional to 6,162.35, 8,503.38 and 3,644.55

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Solution

The fourth proportional to 6,162.35, 8,503.38 and 3,644.55 is: 5,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.35 : 8,503.38 = 3,644.55 : x
  2. Step 2: Convert to fraction form
    6,162.35/8,503.38 = 3,644.55/x
  3. Step 3: Cross multiply
    6,162.35x = 8,503.38 × 3,644.55
  4. Step 4: Simplify right side
    6,162.35x = 30,990,993.58
  5. Step 5: Solve for x
    x = 30,990,993.58/6,162.35
  6. Step 6: Final answer
    x = 5,029.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.