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Finding the Fourth Proportional to 3,923.75, 5,415.18 and 2,351.54

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Solution

The fourth proportional to 3,923.75, 5,415.18 and 2,351.54 is: 3,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.75 : 5,415.18 = 2,351.54 : x
  2. Step 2: Convert to fraction form
    3,923.75/5,415.18 = 2,351.54/x
  3. Step 3: Cross multiply
    3,923.75x = 5,415.18 × 2,351.54
  4. Step 4: Simplify right side
    3,923.75x = 12,734,012.38
  5. Step 5: Solve for x
    x = 12,734,012.38/3,923.75
  6. Step 6: Final answer
    x = 3,245.37

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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.