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Finding the Fourth Proportional to 4,853.96, 6,696.56 and 2,729

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Solution

The fourth proportional to 4,853.96, 6,696.56 and 2,729 is: 3,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.96 : 6,696.56 = 2,729 : x
  2. Step 2: Convert to fraction form
    4,853.96/6,696.56 = 2,729/x
  3. Step 3: Cross multiply
    4,853.96x = 6,696.56 × 2,729
  4. Step 4: Simplify right side
    4,853.96x = 18,274,912.24
  5. Step 5: Solve for x
    x = 18,274,912.24/4,853.96
  6. Step 6: Final answer
    x = 3,764.95

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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.