Home / 3,838.82-5,752.64-2,082.33

Finding the Fourth Proportional to 3,838.82, 5,752.64 and 2,082.33

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Solution

The fourth proportional to 3,838.82, 5,752.64 and 2,082.33 is: 3,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.82 : 5,752.64 = 2,082.33 : x
  2. Step 2: Convert to fraction form
    3,838.82/5,752.64 = 2,082.33/x
  3. Step 3: Cross multiply
    3,838.82x = 5,752.64 × 2,082.33
  4. Step 4: Simplify right side
    3,838.82x = 11,978,900.06
  5. Step 5: Solve for x
    x = 11,978,900.06/3,838.82
  6. Step 6: Final answer
    x = 3,120.47

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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.