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Finding the Fourth Proportional to 3,816.48, 5,732.24 and 3,652.46

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Solution

The fourth proportional to 3,816.48, 5,732.24 and 3,652.46 is: 5,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.48 : 5,732.24 = 3,652.46 : x
  2. Step 2: Convert to fraction form
    3,816.48/5,732.24 = 3,652.46/x
  3. Step 3: Cross multiply
    3,816.48x = 5,732.24 × 3,652.46
  4. Step 4: Simplify right side
    3,816.48x = 20,936,730.39
  5. Step 5: Solve for x
    x = 20,936,730.39/3,816.48
  6. Step 6: Final answer
    x = 5,485.87

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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.