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Finding the Fourth Proportional to 4,095.54, 5,649.69 and 2,769.69

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Solution

The fourth proportional to 4,095.54, 5,649.69 and 2,769.69 is: 3,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.54 : 5,649.69 = 2,769.69 : x
  2. Step 2: Convert to fraction form
    4,095.54/5,649.69 = 2,769.69/x
  3. Step 3: Cross multiply
    4,095.54x = 5,649.69 × 2,769.69
  4. Step 4: Simplify right side
    4,095.54x = 15,647,889.90
  5. Step 5: Solve for x
    x = 15,647,889.90/4,095.54
  6. Step 6: Final answer
    x = 3,820.71

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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.