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Finding the Fourth Proportional to 3,696.81, 5,101.66 and 2,018.22

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Solution

The fourth proportional to 3,696.81, 5,101.66 and 2,018.22 is: 2,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.81 : 5,101.66 = 2,018.22 : x
  2. Step 2: Convert to fraction form
    3,696.81/5,101.66 = 2,018.22/x
  3. Step 3: Cross multiply
    3,696.81x = 5,101.66 × 2,018.22
  4. Step 4: Simplify right side
    3,696.81x = 10,296,249.96
  5. Step 5: Solve for x
    x = 10,296,249.96/3,696.81
  6. Step 6: Final answer
    x = 2,785.17

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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.