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Finding the Fourth Proportional to 4,627.54, 6,943.02 and 2,163.16

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Solution

The fourth proportional to 4,627.54, 6,943.02 and 2,163.16 is: 3,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.54 : 6,943.02 = 2,163.16 : x
  2. Step 2: Convert to fraction form
    4,627.54/6,943.02 = 2,163.16/x
  3. Step 3: Cross multiply
    4,627.54x = 6,943.02 × 2,163.16
  4. Step 4: Simplify right side
    4,627.54x = 15,018,863.14
  5. Step 5: Solve for x
    x = 15,018,863.14/4,627.54
  6. Step 6: Final answer
    x = 3,245.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.