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Finding the Fourth Proportional to 3,967.80, 5,951.70 and 3,816.60

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Solution

The fourth proportional to 3,967.80, 5,951.70 and 3,816.60 is: 5,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.80 : 5,951.70 = 3,816.60 : x
  2. Step 2: Convert to fraction form
    3,967.80/5,951.70 = 3,816.60/x
  3. Step 3: Cross multiply
    3,967.80x = 5,951.70 × 3,816.60
  4. Step 4: Simplify right side
    3,967.80x = 22,715,258.22
  5. Step 5: Solve for x
    x = 22,715,258.22/3,967.80
  6. Step 6: Final answer
    x = 5,724.90

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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.