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Finding the Fourth Proportional to 5,634.72, 8,454.24 and 2,172

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Solution

The fourth proportional to 5,634.72, 8,454.24 and 2,172 is: 3,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.72 : 8,454.24 = 2,172 : x
  2. Step 2: Convert to fraction form
    5,634.72/8,454.24 = 2,172/x
  3. Step 3: Cross multiply
    5,634.72x = 8,454.24 × 2,172
  4. Step 4: Simplify right side
    5,634.72x = 18,362,609.28
  5. Step 5: Solve for x
    x = 18,362,609.28/5,634.72
  6. Step 6: Final answer
    x = 3,258.83

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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.