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Finding the Fourth Proportional to 3,863.51, 5,327.64 and 3,305.83

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Solution

The fourth proportional to 3,863.51, 5,327.64 and 3,305.83 is: 4,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.51 : 5,327.64 = 3,305.83 : x
  2. Step 2: Convert to fraction form
    3,863.51/5,327.64 = 3,305.83/x
  3. Step 3: Cross multiply
    3,863.51x = 5,327.64 × 3,305.83
  4. Step 4: Simplify right side
    3,863.51x = 17,612,268.81
  5. Step 5: Solve for x
    x = 17,612,268.81/3,863.51
  6. Step 6: Final answer
    x = 4,558.61

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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.