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Finding the Fourth Proportional to 4,966.36, 6,853.66 and 2,728.44

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Solution

The fourth proportional to 4,966.36, 6,853.66 and 2,728.44 is: 3,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.36 : 6,853.66 = 2,728.44 : x
  2. Step 2: Convert to fraction form
    4,966.36/6,853.66 = 2,728.44/x
  3. Step 3: Cross multiply
    4,966.36x = 6,853.66 × 2,728.44
  4. Step 4: Simplify right side
    4,966.36x = 18,699,800.09
  5. Step 5: Solve for x
    x = 18,699,800.09/4,966.36
  6. Step 6: Final answer
    x = 3,765.29

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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.