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Finding the Fourth Proportional to 3,605.75, 4,975.92 and 2,033.84

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Solution

The fourth proportional to 3,605.75, 4,975.92 and 2,033.84 is: 2,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.75 : 4,975.92 = 2,033.84 : x
  2. Step 2: Convert to fraction form
    3,605.75/4,975.92 = 2,033.84/x
  3. Step 3: Cross multiply
    3,605.75x = 4,975.92 × 2,033.84
  4. Step 4: Simplify right side
    3,605.75x = 10,120,200.25
  5. Step 5: Solve for x
    x = 10,120,200.25/3,605.75
  6. Step 6: Final answer
    x = 2,806.69

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1.5x scale

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.