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Finding the Fourth Proportional to 4,801.75, 6,626.42 and 2,593.75

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Solution

The fourth proportional to 4,801.75, 6,626.42 and 2,593.75 is: 3,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.75 : 6,626.42 = 2,593.75 : x
  2. Step 2: Convert to fraction form
    4,801.75/6,626.42 = 2,593.75/x
  3. Step 3: Cross multiply
    4,801.75x = 6,626.42 × 2,593.75
  4. Step 4: Simplify right side
    4,801.75x = 17,187,276.88
  5. Step 5: Solve for x
    x = 17,187,276.88/4,801.75
  6. Step 6: Final answer
    x = 3,579.38

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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.