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Finding the Fourth Proportional to 3,751, 5,176.50 and 2,072.34

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Solution

The fourth proportional to 3,751, 5,176.50 and 2,072.34 is: 2,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751 : 5,176.50 = 2,072.34 : x
  2. Step 2: Convert to fraction form
    3,751/5,176.50 = 2,072.34/x
  3. Step 3: Cross multiply
    3,751x = 5,176.50 × 2,072.34
  4. Step 4: Simplify right side
    3,751x = 10,727,468.01
  5. Step 5: Solve for x
    x = 10,727,468.01/3,751
  6. Step 6: Final answer
    x = 2,859.90

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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.