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Finding the Fourth Proportional to 3,538.36, 4,882.71 and 2,212

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Solution

The fourth proportional to 3,538.36, 4,882.71 and 2,212 is: 3,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.36 : 4,882.71 = 2,212 : x
  2. Step 2: Convert to fraction form
    3,538.36/4,882.71 = 2,212/x
  3. Step 3: Cross multiply
    3,538.36x = 4,882.71 × 2,212
  4. Step 4: Simplify right side
    3,538.36x = 10,800,554.52
  5. Step 5: Solve for x
    x = 10,800,554.52/3,538.36
  6. Step 6: Final answer
    x = 3,052.42

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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.