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Finding the Fourth Proportional to 5,634.58, 8,452.06 and 1,936.78

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Solution

The fourth proportional to 5,634.58, 8,452.06 and 1,936.78 is: 2,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.58 : 8,452.06 = 1,936.78 : x
  2. Step 2: Convert to fraction form
    5,634.58/8,452.06 = 1,936.78/x
  3. Step 3: Cross multiply
    5,634.58x = 8,452.06 × 1,936.78
  4. Step 4: Simplify right side
    5,634.58x = 16,369,765.69
  5. Step 5: Solve for x
    x = 16,369,765.69/5,634.58
  6. Step 6: Final answer
    x = 2,905.23

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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.