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Finding the Fourth Proportional to 3,896.64, 5,374.08 and 3,196.80

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Solution

The fourth proportional to 3,896.64, 5,374.08 and 3,196.80 is: 4,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.64 : 5,374.08 = 3,196.80 : x
  2. Step 2: Convert to fraction form
    3,896.64/5,374.08 = 3,196.80/x
  3. Step 3: Cross multiply
    3,896.64x = 5,374.08 × 3,196.80
  4. Step 4: Simplify right side
    3,896.64x = 17,179,858.94
  5. Step 5: Solve for x
    x = 17,179,858.94/3,896.64
  6. Step 6: Final answer
    x = 4,408.89

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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.