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Finding the Fourth Proportional to 3,885.96, 5,361.75 and 3,259.02

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Solution

The fourth proportional to 3,885.96, 5,361.75 and 3,259.02 is: 4,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.96 : 5,361.75 = 3,259.02 : x
  2. Step 2: Convert to fraction form
    3,885.96/5,361.75 = 3,259.02/x
  3. Step 3: Cross multiply
    3,885.96x = 5,361.75 × 3,259.02
  4. Step 4: Simplify right side
    3,885.96x = 17,474,050.49
  5. Step 5: Solve for x
    x = 17,474,050.49/3,885.96
  6. Step 6: Final answer
    x = 4,496.71

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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.