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Finding the Fourth Proportional to 3,832.96, 5,288.80 and 2,785.44

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Solution

The fourth proportional to 3,832.96, 5,288.80 and 2,785.44 is: 3,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.96 : 5,288.80 = 2,785.44 : x
  2. Step 2: Convert to fraction form
    3,832.96/5,288.80 = 2,785.44/x
  3. Step 3: Cross multiply
    3,832.96x = 5,288.80 × 2,785.44
  4. Step 4: Simplify right side
    3,832.96x = 14,731,635.07
  5. Step 5: Solve for x
    x = 14,731,635.07/3,832.96
  6. Step 6: Final answer
    x = 3,843.41

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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.