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Finding the Fourth Proportional to 3,757.81, 5,185.51 and 2,164.36

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Solution

The fourth proportional to 3,757.81, 5,185.51 and 2,164.36 is: 2,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.81 : 5,185.51 = 2,164.36 : x
  2. Step 2: Convert to fraction form
    3,757.81/5,185.51 = 2,164.36/x
  3. Step 3: Cross multiply
    3,757.81x = 5,185.51 × 2,164.36
  4. Step 4: Simplify right side
    3,757.81x = 11,223,310.42
  5. Step 5: Solve for x
    x = 11,223,310.42/3,757.81
  6. Step 6: Final answer
    x = 2,986.66

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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.