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Finding the Fourth Proportional to 3,767.07, 5,649.97 and 1,169.80

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Solution

The fourth proportional to 3,767.07, 5,649.97 and 1,169.80 is: 1,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.07 : 5,649.97 = 1,169.80 : x
  2. Step 2: Convert to fraction form
    3,767.07/5,649.97 = 1,169.80/x
  3. Step 3: Cross multiply
    3,767.07x = 5,649.97 × 1,169.80
  4. Step 4: Simplify right side
    3,767.07x = 6,609,334.91
  5. Step 5: Solve for x
    x = 6,609,334.91/3,767.07
  6. Step 6: Final answer
    x = 1,754.50

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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.