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Finding the Fourth Proportional to 4,923.62, 7,375.17 and 2,450.94

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Solution

The fourth proportional to 4,923.62, 7,375.17 and 2,450.94 is: 3,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.62 : 7,375.17 = 2,450.94 : x
  2. Step 2: Convert to fraction form
    4,923.62/7,375.17 = 2,450.94/x
  3. Step 3: Cross multiply
    4,923.62x = 7,375.17 × 2,450.94
  4. Step 4: Simplify right side
    4,923.62x = 18,076,099.16
  5. Step 5: Solve for x
    x = 18,076,099.16/4,923.62
  6. Step 6: Final answer
    x = 3,671.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.