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Finding the Fourth Proportional to 5,474.77, 8,212.26 and 1,777

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Solution

The fourth proportional to 5,474.77, 8,212.26 and 1,777 is: 2,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.77 : 8,212.26 = 1,777 : x
  2. Step 2: Convert to fraction form
    5,474.77/8,212.26 = 1,777/x
  3. Step 3: Cross multiply
    5,474.77x = 8,212.26 × 1,777
  4. Step 4: Simplify right side
    5,474.77x = 14,593,186.02
  5. Step 5: Solve for x
    x = 14,593,186.02/5,474.77
  6. Step 6: Final answer
    x = 2,665.53

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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.