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Finding the Fourth Proportional to 3,923.51, 5,912.25 and 3,245.43

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Solution

The fourth proportional to 3,923.51, 5,912.25 and 3,245.43 is: 4,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.51 : 5,912.25 = 3,245.43 : x
  2. Step 2: Convert to fraction form
    3,923.51/5,912.25 = 3,245.43/x
  3. Step 3: Cross multiply
    3,923.51x = 5,912.25 × 3,245.43
  4. Step 4: Simplify right side
    3,923.51x = 19,187,812.65
  5. Step 5: Solve for x
    x = 19,187,812.65/3,923.51
  6. Step 6: Final answer
    x = 4,890.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.