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Finding the Fourth Proportional to 4,832.34, 6,669 and 2,736.78

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Solution

The fourth proportional to 4,832.34, 6,669 and 2,736.78 is: 3,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.34 : 6,669 = 2,736.78 : x
  2. Step 2: Convert to fraction form
    4,832.34/6,669 = 2,736.78/x
  3. Step 3: Cross multiply
    4,832.34x = 6,669 × 2,736.78
  4. Step 4: Simplify right side
    4,832.34x = 18,251,585.82
  5. Step 5: Solve for x
    x = 18,251,585.82/4,832.34
  6. Step 6: Final answer
    x = 3,776.97

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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.