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Finding the Fourth Proportional to 5,571.07, 7,674.46 and 4,771.77

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Solution

The fourth proportional to 5,571.07, 7,674.46 and 4,771.77 is: 6,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.07 : 7,674.46 = 4,771.77 : x
  2. Step 2: Convert to fraction form
    5,571.07/7,674.46 = 4,771.77/x
  3. Step 3: Cross multiply
    5,571.07x = 7,674.46 × 4,771.77
  4. Step 4: Simplify right side
    5,571.07x = 36,620,757.99
  5. Step 5: Solve for x
    x = 36,620,757.99/5,571.07
  6. Step 6: Final answer
    x = 6,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.