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Finding the Fourth Proportional to 3,735.26, 5,154.26 and 2,163.06

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Solution

The fourth proportional to 3,735.26, 5,154.26 and 2,163.06 is: 2,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.26 : 5,154.26 = 2,163.06 : x
  2. Step 2: Convert to fraction form
    3,735.26/5,154.26 = 2,163.06/x
  3. Step 3: Cross multiply
    3,735.26x = 5,154.26 × 2,163.06
  4. Step 4: Simplify right side
    3,735.26x = 11,148,973.64
  5. Step 5: Solve for x
    x = 11,148,973.64/3,735.26
  6. Step 6: Final answer
    x = 2,984.79

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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.