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Finding the Fourth Proportional to 3,734.64, 5,154.92 and 2,163.44

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Solution

The fourth proportional to 3,734.64, 5,154.92 and 2,163.44 is: 2,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,154.92 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,154.92 = 2,163.44/x
  3. Step 3: Cross multiply
    3,734.64x = 5,154.92 × 2,163.44
  4. Step 4: Simplify right side
    3,734.64x = 11,152,360.12
  5. Step 5: Solve for x
    x = 11,152,360.12/3,734.64
  6. Step 6: Final answer
    x = 2,986.19

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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.