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Finding the Fourth Proportional to 3,816.34, 5,265.74 and 2,243.86

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Solution

The fourth proportional to 3,816.34, 5,265.74 and 2,243.86 is: 3,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.34 : 5,265.74 = 2,243.86 : x
  2. Step 2: Convert to fraction form
    3,816.34/5,265.74 = 2,243.86/x
  3. Step 3: Cross multiply
    3,816.34x = 5,265.74 × 2,243.86
  4. Step 4: Simplify right side
    3,816.34x = 11,815,583.36
  5. Step 5: Solve for x
    x = 11,815,583.36/3,816.34
  6. Step 6: Final answer
    x = 3,096.05

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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.