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Finding the Fourth Proportional to 3,846.36, 5,767.50 and 1,992.89

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Solution

The fourth proportional to 3,846.36, 5,767.50 and 1,992.89 is: 2,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.36 : 5,767.50 = 1,992.89 : x
  2. Step 2: Convert to fraction form
    3,846.36/5,767.50 = 1,992.89/x
  3. Step 3: Cross multiply
    3,846.36x = 5,767.50 × 1,992.89
  4. Step 4: Simplify right side
    3,846.36x = 11,493,964.24
  5. Step 5: Solve for x
    x = 11,493,964.24/3,846.36
  6. Step 6: Final answer
    x = 2,988.27

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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.