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Finding the Fourth Proportional to 3,829.42, 5,745.03 and 1,364.44

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Solution

The fourth proportional to 3,829.42, 5,745.03 and 1,364.44 is: 2,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.42 : 5,745.03 = 1,364.44 : x
  2. Step 2: Convert to fraction form
    3,829.42/5,745.03 = 1,364.44/x
  3. Step 3: Cross multiply
    3,829.42x = 5,745.03 × 1,364.44
  4. Step 4: Simplify right side
    3,829.42x = 7,838,748.73
  5. Step 5: Solve for x
    x = 7,838,748.73/3,829.42
  6. Step 6: Final answer
    x = 2,046.98

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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.