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Finding the Fourth Proportional to 3,829.98, 5,745.43 and 1,364.45

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Solution

The fourth proportional to 3,829.98, 5,745.43 and 1,364.45 is: 2,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.98 : 5,745.43 = 1,364.45 : x
  2. Step 2: Convert to fraction form
    3,829.98/5,745.43 = 1,364.45/x
  3. Step 3: Cross multiply
    3,829.98x = 5,745.43 × 1,364.45
  4. Step 4: Simplify right side
    3,829.98x = 7,839,324.94
  5. Step 5: Solve for x
    x = 7,839,324.94/3,829.98
  6. Step 6: Final answer
    x = 2,046.83

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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.