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Finding the Fourth Proportional to 4,096.85, 5,649.19 and 2,768.25

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Solution

The fourth proportional to 4,096.85, 5,649.19 and 2,768.25 is: 3,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.85 : 5,649.19 = 2,768.25 : x
  2. Step 2: Convert to fraction form
    4,096.85/5,649.19 = 2,768.25/x
  3. Step 3: Cross multiply
    4,096.85x = 5,649.19 × 2,768.25
  4. Step 4: Simplify right side
    4,096.85x = 15,638,370.22
  5. Step 5: Solve for x
    x = 15,638,370.22/4,096.85
  6. Step 6: Final answer
    x = 3,817.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.