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Finding the Fourth Proportional to 5,474.63, 8,207.07 and 2,011.07

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Solution

The fourth proportional to 5,474.63, 8,207.07 and 2,011.07 is: 3,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.63 : 8,207.07 = 2,011.07 : x
  2. Step 2: Convert to fraction form
    5,474.63/8,207.07 = 2,011.07/x
  3. Step 3: Cross multiply
    5,474.63x = 8,207.07 × 2,011.07
  4. Step 4: Simplify right side
    5,474.63x = 16,504,992.26
  5. Step 5: Solve for x
    x = 16,504,992.26/5,474.63
  6. Step 6: Final answer
    x = 3,014.81

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Why These Related Problems?

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