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Finding the Fourth Proportional to 3,751, 5,176.32 and 2,072.48

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Solution

The fourth proportional to 3,751, 5,176.32 and 2,072.48 is: 2,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751 : 5,176.32 = 2,072.48 : x
  2. Step 2: Convert to fraction form
    3,751/5,176.32 = 2,072.48/x
  3. Step 3: Cross multiply
    3,751x = 5,176.32 × 2,072.48
  4. Step 4: Simplify right side
    3,751x = 10,727,801.55
  5. Step 5: Solve for x
    x = 10,727,801.55/3,751
  6. Step 6: Final answer
    x = 2,859.98

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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.