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Finding the Fourth Proportional to 4,229.85, 5,839.23 and 2,815.89

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Solution

The fourth proportional to 4,229.85, 5,839.23 and 2,815.89 is: 3,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.85 : 5,839.23 = 2,815.89 : x
  2. Step 2: Convert to fraction form
    4,229.85/5,839.23 = 2,815.89/x
  3. Step 3: Cross multiply
    4,229.85x = 5,839.23 × 2,815.89
  4. Step 4: Simplify right side
    4,229.85x = 16,442,629.36
  5. Step 5: Solve for x
    x = 16,442,629.36/4,229.85
  6. Step 6: Final answer
    x = 3,887.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.