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Finding the Fourth Proportional to 3,783.94, 5,675.84 and 2,744.44

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Solution

The fourth proportional to 3,783.94, 5,675.84 and 2,744.44 is: 4,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.94 : 5,675.84 = 2,744.44 : x
  2. Step 2: Convert to fraction form
    3,783.94/5,675.84 = 2,744.44/x
  3. Step 3: Cross multiply
    3,783.94x = 5,675.84 × 2,744.44
  4. Step 4: Simplify right side
    3,783.94x = 15,577,002.33
  5. Step 5: Solve for x
    x = 15,577,002.33/3,783.94
  6. Step 6: Final answer
    x = 4,116.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.