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Finding the Fourth Proportional to 4,833.67, 6,683.89 and 3,837.22

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Solution

The fourth proportional to 4,833.67, 6,683.89 and 3,837.22 is: 5,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.67 : 6,683.89 = 3,837.22 : x
  2. Step 2: Convert to fraction form
    4,833.67/6,683.89 = 3,837.22/x
  3. Step 3: Cross multiply
    4,833.67x = 6,683.89 × 3,837.22
  4. Step 4: Simplify right side
    4,833.67x = 25,647,556.39
  5. Step 5: Solve for x
    x = 25,647,556.39/4,833.67
  6. Step 6: Final answer
    x = 5,306.02

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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.