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Finding the Fourth Proportional to 3,829.88, 5,744.79 and 1,232.82

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Solution

The fourth proportional to 3,829.88, 5,744.79 and 1,232.82 is: 1,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.88 : 5,744.79 = 1,232.82 : x
  2. Step 2: Convert to fraction form
    3,829.88/5,744.79 = 1,232.82/x
  3. Step 3: Cross multiply
    3,829.88x = 5,744.79 × 1,232.82
  4. Step 4: Simplify right side
    3,829.88x = 7,082,292.01
  5. Step 5: Solve for x
    x = 7,082,292.01/3,829.88
  6. Step 6: Final answer
    x = 1,849.22

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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.