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Finding the Fourth Proportional to 3,326.67, 4,989.62 and 861.29

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Solution

The fourth proportional to 3,326.67, 4,989.62 and 861.29 is: 1,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.67 : 4,989.62 = 861.29 : x
  2. Step 2: Convert to fraction form
    3,326.67/4,989.62 = 861.29/x
  3. Step 3: Cross multiply
    3,326.67x = 4,989.62 × 861.29
  4. Step 4: Simplify right side
    3,326.67x = 4,297,480.56
  5. Step 5: Solve for x
    x = 4,297,480.56/3,326.67
  6. Step 6: Final answer
    x = 1,291.83

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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.