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Finding the Fourth Proportional to 3,872.93, 5,809.41 and 1,099.52

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Solution

The fourth proportional to 3,872.93, 5,809.41 and 1,099.52 is: 1,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.93 : 5,809.41 = 1,099.52 : x
  2. Step 2: Convert to fraction form
    3,872.93/5,809.41 = 1,099.52/x
  3. Step 3: Cross multiply
    3,872.93x = 5,809.41 × 1,099.52
  4. Step 4: Simplify right side
    3,872.93x = 6,387,533.44
  5. Step 5: Solve for x
    x = 6,387,533.44/3,872.93
  6. Step 6: Final answer
    x = 1,649.28

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Why These Related Problems?

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