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Finding the Fourth Proportional to 3,942.65, 5,440.79 and 2,174.22

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Solution

The fourth proportional to 3,942.65, 5,440.79 and 2,174.22 is: 3,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.65 : 5,440.79 = 2,174.22 : x
  2. Step 2: Convert to fraction form
    3,942.65/5,440.79 = 2,174.22/x
  3. Step 3: Cross multiply
    3,942.65x = 5,440.79 × 2,174.22
  4. Step 4: Simplify right side
    3,942.65x = 11,829,479.87
  5. Step 5: Solve for x
    x = 11,829,479.87/3,942.65
  6. Step 6: Final answer
    x = 3,000.39

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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.