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Finding the Fourth Proportional to 3,829.03, 5,744.44 and 1,196.44

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Solution

The fourth proportional to 3,829.03, 5,744.44 and 1,196.44 is: 1,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.03 : 5,744.44 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    3,829.03/5,744.44 = 1,196.44/x
  3. Step 3: Cross multiply
    3,829.03x = 5,744.44 × 1,196.44
  4. Step 4: Simplify right side
    3,829.03x = 6,872,877.79
  5. Step 5: Solve for x
    x = 6,872,877.79/3,829.03
  6. Step 6: Final answer
    x = 1,794.94

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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.