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Finding the Fourth Proportional to 3,816.50, 5,724.60 and 2,150.60

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Solution

The fourth proportional to 3,816.50, 5,724.60 and 2,150.60 is: 3,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.50 : 5,724.60 = 2,150.60 : x
  2. Step 2: Convert to fraction form
    3,816.50/5,724.60 = 2,150.60/x
  3. Step 3: Cross multiply
    3,816.50x = 5,724.60 × 2,150.60
  4. Step 4: Simplify right side
    3,816.50x = 12,311,324.76
  5. Step 5: Solve for x
    x = 12,311,324.76/3,816.50
  6. Step 6: Final answer
    x = 3,225.82

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Why These Related Problems?

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