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Finding the Fourth Proportional to 4,096.94, 5,649.26 and 3,244.77

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Solution

The fourth proportional to 4,096.94, 5,649.26 and 3,244.77 is: 4,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.94 : 5,649.26 = 3,244.77 : x
  2. Step 2: Convert to fraction form
    4,096.94/5,649.26 = 3,244.77/x
  3. Step 3: Cross multiply
    4,096.94x = 5,649.26 × 3,244.77
  4. Step 4: Simplify right side
    4,096.94x = 18,330,533.15
  5. Step 5: Solve for x
    x = 18,330,533.15/4,096.94
  6. Step 6: Final answer
    x = 4,474.21

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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.