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Finding the Fourth Proportional to 3,816.86, 5,266.94 and 2,138.15

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Solution

The fourth proportional to 3,816.86, 5,266.94 and 2,138.15 is: 2,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.86 : 5,266.94 = 2,138.15 : x
  2. Step 2: Convert to fraction form
    3,816.86/5,266.94 = 2,138.15/x
  3. Step 3: Cross multiply
    3,816.86x = 5,266.94 × 2,138.15
  4. Step 4: Simplify right side
    3,816.86x = 11,261,510.24
  5. Step 5: Solve for x
    x = 11,261,510.24/3,816.86
  6. Step 6: Final answer
    x = 2,950.47

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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.