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Finding the Fourth Proportional to 4,704.06, 6,500.06 and 3,375.43

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Solution

The fourth proportional to 4,704.06, 6,500.06 and 3,375.43 is: 4,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.06 : 6,500.06 = 3,375.43 : x
  2. Step 2: Convert to fraction form
    4,704.06/6,500.06 = 3,375.43/x
  3. Step 3: Cross multiply
    4,704.06x = 6,500.06 × 3,375.43
  4. Step 4: Simplify right side
    4,704.06x = 21,940,497.53
  5. Step 5: Solve for x
    x = 21,940,497.53/4,704.06
  6. Step 6: Final answer
    x = 4,664.16

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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.