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Finding the Fourth Proportional to 3,766.26, 5,661.54 and 3,649.62

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Solution

The fourth proportional to 3,766.26, 5,661.54 and 3,649.62 is: 5,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.26 : 5,661.54 = 3,649.62 : x
  2. Step 2: Convert to fraction form
    3,766.26/5,661.54 = 3,649.62/x
  3. Step 3: Cross multiply
    3,766.26x = 5,661.54 × 3,649.62
  4. Step 4: Simplify right side
    3,766.26x = 20,662,469.61
  5. Step 5: Solve for x
    x = 20,662,469.61/3,766.26
  6. Step 6: Final answer
    x = 5,486.20

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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.