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Finding the Fourth Proportional to 4,907.92, 6,775.50 and 3,786.43

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Solution

The fourth proportional to 4,907.92, 6,775.50 and 3,786.43 is: 5,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.92 : 6,775.50 = 3,786.43 : x
  2. Step 2: Convert to fraction form
    4,907.92/6,775.50 = 3,786.43/x
  3. Step 3: Cross multiply
    4,907.92x = 6,775.50 × 3,786.43
  4. Step 4: Simplify right side
    4,907.92x = 25,654,956.47
  5. Step 5: Solve for x
    x = 25,654,956.47/4,907.92
  6. Step 6: Final answer
    x = 5,227.26

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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.