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Finding the Fourth Proportional to 3,873.78, 5,809.93 and 1,099.73

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Solution

The fourth proportional to 3,873.78, 5,809.93 and 1,099.73 is: 1,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.78 : 5,809.93 = 1,099.73 : x
  2. Step 2: Convert to fraction form
    3,873.78/5,809.93 = 1,099.73/x
  3. Step 3: Cross multiply
    3,873.78x = 5,809.93 × 1,099.73
  4. Step 4: Simplify right side
    3,873.78x = 6,389,366.09
  5. Step 5: Solve for x
    x = 6,389,366.09/3,873.78
  6. Step 6: Final answer
    x = 1,649.39

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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.