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Finding the Fourth Proportional to 4,659.26, 6,429.79 and 2,563.38

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Solution

The fourth proportional to 4,659.26, 6,429.79 and 2,563.38 is: 3,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.26 : 6,429.79 = 2,563.38 : x
  2. Step 2: Convert to fraction form
    4,659.26/6,429.79 = 2,563.38/x
  3. Step 3: Cross multiply
    4,659.26x = 6,429.79 × 2,563.38
  4. Step 4: Simplify right side
    4,659.26x = 16,481,998.29
  5. Step 5: Solve for x
    x = 16,481,998.29/4,659.26
  6. Step 6: Final answer
    x = 3,537.48

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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.