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Finding the Fourth Proportional to 4,116.49, 6,175.34 and 1,194.41

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Solution

The fourth proportional to 4,116.49, 6,175.34 and 1,194.41 is: 1,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.49 : 6,175.34 = 1,194.41 : x
  2. Step 2: Convert to fraction form
    4,116.49/6,175.34 = 1,194.41/x
  3. Step 3: Cross multiply
    4,116.49x = 6,175.34 × 1,194.41
  4. Step 4: Simplify right side
    4,116.49x = 7,375,881.88
  5. Step 5: Solve for x
    x = 7,375,881.88/4,116.49
  6. Step 6: Final answer
    x = 1,791.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.