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Finding the Fourth Proportional to 3,816.72, 5,266.92 and 2,138.10

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Solution

The fourth proportional to 3,816.72, 5,266.92 and 2,138.10 is: 2,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.72 : 5,266.92 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    3,816.72/5,266.92 = 2,138.10/x
  3. Step 3: Cross multiply
    3,816.72x = 5,266.92 × 2,138.10
  4. Step 4: Simplify right side
    3,816.72x = 11,261,201.65
  5. Step 5: Solve for x
    x = 11,261,201.65/3,816.72
  6. Step 6: Final answer
    x = 2,950.49

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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.