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Finding the Fourth Proportional to 3,768.90, 5,185.79 and 3,094.22

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Solution

The fourth proportional to 3,768.90, 5,185.79 and 3,094.22 is: 4,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.90 : 5,185.79 = 3,094.22 : x
  2. Step 2: Convert to fraction form
    3,768.90/5,185.79 = 3,094.22/x
  3. Step 3: Cross multiply
    3,768.90x = 5,185.79 × 3,094.22
  4. Step 4: Simplify right side
    3,768.90x = 16,045,955.06
  5. Step 5: Solve for x
    x = 16,045,955.06/3,768.90
  6. Step 6: Final answer
    x = 4,257.47

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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.