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Finding the Fourth Proportional to 3,696.69, 5,101.44 and 2,018.13

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Solution

The fourth proportional to 3,696.69, 5,101.44 and 2,018.13 is: 2,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.69 : 5,101.44 = 2,018.13 : x
  2. Step 2: Convert to fraction form
    3,696.69/5,101.44 = 2,018.13/x
  3. Step 3: Cross multiply
    3,696.69x = 5,101.44 × 2,018.13
  4. Step 4: Simplify right side
    3,696.69x = 10,295,369.11
  5. Step 5: Solve for x
    x = 10,295,369.11/3,696.69
  6. Step 6: Final answer
    x = 2,785.02

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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.