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Finding the Fourth Proportional to 3,661.62, 5,053.13 and 2,246.09

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Solution

The fourth proportional to 3,661.62, 5,053.13 and 2,246.09 is: 3,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.62 : 5,053.13 = 2,246.09 : x
  2. Step 2: Convert to fraction form
    3,661.62/5,053.13 = 2,246.09/x
  3. Step 3: Cross multiply
    3,661.62x = 5,053.13 × 2,246.09
  4. Step 4: Simplify right side
    3,661.62x = 11,349,757.39
  5. Step 5: Solve for x
    x = 11,349,757.39/3,661.62
  6. Step 6: Final answer
    x = 3,099.66

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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.