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Finding the Fourth Proportional to 3,806.75, 5,223.27 and 3,597.77

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Solution

The fourth proportional to 3,806.75, 5,223.27 and 3,597.77 is: 4,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.75 : 5,223.27 = 3,597.77 : x
  2. Step 2: Convert to fraction form
    3,806.75/5,223.27 = 3,597.77/x
  3. Step 3: Cross multiply
    3,806.75x = 5,223.27 × 3,597.77
  4. Step 4: Simplify right side
    3,806.75x = 18,792,097.99
  5. Step 5: Solve for x
    x = 18,792,097.99/3,806.75
  6. Step 6: Final answer
    x = 4,936.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.