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Finding the Fourth Proportional to 3,816.70, 5,726.60 and 2,063.86

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Solution

The fourth proportional to 3,816.70, 5,726.60 and 2,063.86 is: 3,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.70 : 5,726.60 = 2,063.86 : x
  2. Step 2: Convert to fraction form
    3,816.70/5,726.60 = 2,063.86/x
  3. Step 3: Cross multiply
    3,816.70x = 5,726.60 × 2,063.86
  4. Step 4: Simplify right side
    3,816.70x = 11,818,900.68
  5. Step 5: Solve for x
    x = 11,818,900.68/3,816.70
  6. Step 6: Final answer
    x = 3,096.63

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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.