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Finding the Fourth Proportional to 3,584.75, 4,942.26 and 2,590.26

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Solution

The fourth proportional to 3,584.75, 4,942.26 and 2,590.26 is: 3,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.75 : 4,942.26 = 2,590.26 : x
  2. Step 2: Convert to fraction form
    3,584.75/4,942.26 = 2,590.26/x
  3. Step 3: Cross multiply
    3,584.75x = 4,942.26 × 2,590.26
  4. Step 4: Simplify right side
    3,584.75x = 12,801,738.39
  5. Step 5: Solve for x
    x = 12,801,738.39/3,584.75
  6. Step 6: Final answer
    x = 3,571.17

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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.