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Finding the Fourth Proportional to 3,767.16, 5,198.62 and 2,065.66

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Solution

The fourth proportional to 3,767.16, 5,198.62 and 2,065.66 is: 2,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.16 : 5,198.62 = 2,065.66 : x
  2. Step 2: Convert to fraction form
    3,767.16/5,198.62 = 2,065.66/x
  3. Step 3: Cross multiply
    3,767.16x = 5,198.62 × 2,065.66
  4. Step 4: Simplify right side
    3,767.16x = 10,738,581.39
  5. Step 5: Solve for x
    x = 10,738,581.39/3,767.16
  6. Step 6: Final answer
    x = 2,850.58

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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.