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Finding the Fourth Proportional to 3,767.04, 5,198.04 and 2,194.74

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Solution

The fourth proportional to 3,767.04, 5,198.04 and 2,194.74 is: 3,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.04 : 5,198.04 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    3,767.04/5,198.04 = 2,194.74/x
  3. Step 3: Cross multiply
    3,767.04x = 5,198.04 × 2,194.74
  4. Step 4: Simplify right side
    3,767.04x = 11,408,346.31
  5. Step 5: Solve for x
    x = 11,408,346.31/3,767.04
  6. Step 6: Final answer
    x = 3,028.46

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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.