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Finding the Fourth Proportional to 3,794.65, 5,689.41 and 1,942.18

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Solution

The fourth proportional to 3,794.65, 5,689.41 and 1,942.18 is: 2,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.65 : 5,689.41 = 1,942.18 : x
  2. Step 2: Convert to fraction form
    3,794.65/5,689.41 = 1,942.18/x
  3. Step 3: Cross multiply
    3,794.65x = 5,689.41 × 1,942.18
  4. Step 4: Simplify right side
    3,794.65x = 11,049,858.31
  5. Step 5: Solve for x
    x = 11,049,858.31/3,794.65
  6. Step 6: Final answer
    x = 2,911.96

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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.