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Finding the Fourth Proportional to 3,769.16, 5,649 and 2,673.80

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Solution

The fourth proportional to 3,769.16, 5,649 and 2,673.80 is: 4,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.16 : 5,649 = 2,673.80 : x
  2. Step 2: Convert to fraction form
    3,769.16/5,649 = 2,673.80/x
  3. Step 3: Cross multiply
    3,769.16x = 5,649 × 2,673.80
  4. Step 4: Simplify right side
    3,769.16x = 15,104,296.20
  5. Step 5: Solve for x
    x = 15,104,296.20/3,769.16
  6. Step 6: Final answer
    x = 4,007.34

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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.