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Finding the Fourth Proportional to 4,229.61, 6,344.78 and 1,109.60

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Solution

The fourth proportional to 4,229.61, 6,344.78 and 1,109.60 is: 1,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.61 : 6,344.78 = 1,109.60 : x
  2. Step 2: Convert to fraction form
    4,229.61/6,344.78 = 1,109.60/x
  3. Step 3: Cross multiply
    4,229.61x = 6,344.78 × 1,109.60
  4. Step 4: Simplify right side
    4,229.61x = 7,040,130.62
  5. Step 5: Solve for x
    x = 7,040,130.62/4,229.61
  6. Step 6: Final answer
    x = 1,664.49

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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.