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Finding the Fourth Proportional to 4,589.26, 6,879.08 and 2,829.63

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Solution

The fourth proportional to 4,589.26, 6,879.08 and 2,829.63 is: 4,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.26 : 6,879.08 = 2,829.63 : x
  2. Step 2: Convert to fraction form
    4,589.26/6,879.08 = 2,829.63/x
  3. Step 3: Cross multiply
    4,589.26x = 6,879.08 × 2,829.63
  4. Step 4: Simplify right side
    4,589.26x = 19,465,268.09
  5. Step 5: Solve for x
    x = 19,465,268.09/4,589.26
  6. Step 6: Final answer
    x = 4,241.49

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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.