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Finding the Fourth Proportional to 3,678.37, 5,076.10 and 1,999.73

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Solution

The fourth proportional to 3,678.37, 5,076.10 and 1,999.73 is: 2,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.37 : 5,076.10 = 1,999.73 : x
  2. Step 2: Convert to fraction form
    3,678.37/5,076.10 = 1,999.73/x
  3. Step 3: Cross multiply
    3,678.37x = 5,076.10 × 1,999.73
  4. Step 4: Simplify right side
    3,678.37x = 10,150,833.39
  5. Step 5: Solve for x
    x = 10,150,833.39/3,678.37
  6. Step 6: Final answer
    x = 2,759.60

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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.