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Finding the Fourth Proportional to 3,846.66, 5,765.09 and 1,872.76

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Solution

The fourth proportional to 3,846.66, 5,765.09 and 1,872.76 is: 2,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.66 : 5,765.09 = 1,872.76 : x
  2. Step 2: Convert to fraction form
    3,846.66/5,765.09 = 1,872.76/x
  3. Step 3: Cross multiply
    3,846.66x = 5,765.09 × 1,872.76
  4. Step 4: Simplify right side
    3,846.66x = 10,796,620.58
  5. Step 5: Solve for x
    x = 10,796,620.58/3,846.66
  6. Step 6: Final answer
    x = 2,806.75

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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.