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Finding the Fourth Proportional to 6,164.20, 8,506.02 and 3,512.20

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Solution

The fourth proportional to 6,164.20, 8,506.02 and 3,512.20 is: 4,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.20 : 8,506.02 = 3,512.20 : x
  2. Step 2: Convert to fraction form
    6,164.20/8,506.02 = 3,512.20/x
  3. Step 3: Cross multiply
    6,164.20x = 8,506.02 × 3,512.20
  4. Step 4: Simplify right side
    6,164.20x = 29,874,843.44
  5. Step 5: Solve for x
    x = 29,874,843.44/6,164.20
  6. Step 6: Final answer
    x = 4,846.51

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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.