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Finding the Fourth Proportional to 3,936.50, 5,429.12 and 2,363.48

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Solution

The fourth proportional to 3,936.50, 5,429.12 and 2,363.48 is: 3,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.50 : 5,429.12 = 2,363.48 : x
  2. Step 2: Convert to fraction form
    3,936.50/5,429.12 = 2,363.48/x
  3. Step 3: Cross multiply
    3,936.50x = 5,429.12 × 2,363.48
  4. Step 4: Simplify right side
    3,936.50x = 12,831,616.54
  5. Step 5: Solve for x
    x = 12,831,616.54/3,936.50
  6. Step 6: Final answer
    x = 3,259.65

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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.