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Finding the Fourth Proportional to 3,836.94, 5,747.06 and 2,351.67

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Solution

The fourth proportional to 3,836.94, 5,747.06 and 2,351.67 is: 3,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.94 : 5,747.06 = 2,351.67 : x
  2. Step 2: Convert to fraction form
    3,836.94/5,747.06 = 2,351.67/x
  3. Step 3: Cross multiply
    3,836.94x = 5,747.06 × 2,351.67
  4. Step 4: Simplify right side
    3,836.94x = 13,515,200.47
  5. Step 5: Solve for x
    x = 13,515,200.47/3,836.94
  6. Step 6: Final answer
    x = 3,522.39

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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.