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Finding the Fourth Proportional to 3,696.73, 5,101.44 and 2,018.17

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Solution

The fourth proportional to 3,696.73, 5,101.44 and 2,018.17 is: 2,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.73 : 5,101.44 = 2,018.17 : x
  2. Step 2: Convert to fraction form
    3,696.73/5,101.44 = 2,018.17/x
  3. Step 3: Cross multiply
    3,696.73x = 5,101.44 × 2,018.17
  4. Step 4: Simplify right side
    3,696.73x = 10,295,573.16
  5. Step 5: Solve for x
    x = 10,295,573.16/3,696.73
  6. Step 6: Final answer
    x = 2,785.05

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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.