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Finding the Fourth Proportional to 4,517.37, 6,777.09 and 1,744.07

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Solution

The fourth proportional to 4,517.37, 6,777.09 and 1,744.07 is: 2,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.37 : 6,777.09 = 1,744.07 : x
  2. Step 2: Convert to fraction form
    4,517.37/6,777.09 = 1,744.07/x
  3. Step 3: Cross multiply
    4,517.37x = 6,777.09 × 1,744.07
  4. Step 4: Simplify right side
    4,517.37x = 11,819,685.47
  5. Step 5: Solve for x
    x = 11,819,685.47/4,517.37
  6. Step 6: Final answer
    x = 2,616.50

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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.