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Finding the Fourth Proportional to 3,649.26, 5,469.12 and 3,185.86

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Solution

The fourth proportional to 3,649.26, 5,469.12 and 3,185.86 is: 4,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.26 : 5,469.12 = 3,185.86 : x
  2. Step 2: Convert to fraction form
    3,649.26/5,469.12 = 3,185.86/x
  3. Step 3: Cross multiply
    3,649.26x = 5,469.12 × 3,185.86
  4. Step 4: Simplify right side
    3,649.26x = 17,423,850.64
  5. Step 5: Solve for x
    x = 17,423,850.64/3,649.26
  6. Step 6: Final answer
    x = 4,774.63

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