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Finding the Fourth Proportional to 3,683.78, 5,081.90 and 2,190.86

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Solution

The fourth proportional to 3,683.78, 5,081.90 and 2,190.86 is: 3,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.78 : 5,081.90 = 2,190.86 : x
  2. Step 2: Convert to fraction form
    3,683.78/5,081.90 = 2,190.86/x
  3. Step 3: Cross multiply
    3,683.78x = 5,081.90 × 2,190.86
  4. Step 4: Simplify right side
    3,683.78x = 11,133,731.43
  5. Step 5: Solve for x
    x = 11,133,731.43/3,683.78
  6. Step 6: Final answer
    x = 3,022.37

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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.