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Finding the Fourth Proportional to 3,606.86, 4,977.81 and 2,190.22

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Solution

The fourth proportional to 3,606.86, 4,977.81 and 2,190.22 is: 3,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.86 : 4,977.81 = 2,190.22 : x
  2. Step 2: Convert to fraction form
    3,606.86/4,977.81 = 2,190.22/x
  3. Step 3: Cross multiply
    3,606.86x = 4,977.81 × 2,190.22
  4. Step 4: Simplify right side
    3,606.86x = 10,902,499.02
  5. Step 5: Solve for x
    x = 10,902,499.02/3,606.86
  6. Step 6: Final answer
    x = 3,022.71

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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.