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Finding the Fourth Proportional to 3,757.64, 5,185.24 and 2,164.21

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Solution

The fourth proportional to 3,757.64, 5,185.24 and 2,164.21 is: 2,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.64 : 5,185.24 = 2,164.21 : x
  2. Step 2: Convert to fraction form
    3,757.64/5,185.24 = 2,164.21/x
  3. Step 3: Cross multiply
    3,757.64x = 5,185.24 × 2,164.21
  4. Step 4: Simplify right side
    3,757.64x = 11,221,929.89
  5. Step 5: Solve for x
    x = 11,221,929.89/3,757.64
  6. Step 6: Final answer
    x = 2,986.43

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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.