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Finding the Fourth Proportional to 3,288.96, 4,936.56 and 2,365.44

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Solution

The fourth proportional to 3,288.96, 4,936.56 and 2,365.44 is: 3,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.96 : 4,936.56 = 2,365.44 : x
  2. Step 2: Convert to fraction form
    3,288.96/4,936.56 = 2,365.44/x
  3. Step 3: Cross multiply
    3,288.96x = 4,936.56 × 2,365.44
  4. Step 4: Simplify right side
    3,288.96x = 11,677,136.49
  5. Step 5: Solve for x
    x = 11,677,136.49/3,288.96
  6. Step 6: Final answer
    x = 3,550.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.