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Finding the Fourth Proportional to 3,846.25, 5,764.36 and 3,350.53

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Solution

The fourth proportional to 3,846.25, 5,764.36 and 3,350.53 is: 5,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.25 : 5,764.36 = 3,350.53 : x
  2. Step 2: Convert to fraction form
    3,846.25/5,764.36 = 3,350.53/x
  3. Step 3: Cross multiply
    3,846.25x = 5,764.36 × 3,350.53
  4. Step 4: Simplify right side
    3,846.25x = 19,313,661.11
  5. Step 5: Solve for x
    x = 19,313,661.11/3,846.25
  6. Step 6: Final answer
    x = 5,021.43

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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.