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Finding the Fourth Proportional to 8,535.05, 12,797.94 and 3,849.58

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Solution

The fourth proportional to 8,535.05, 12,797.94 and 3,849.58 is: 5,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.05 : 12,797.94 = 3,849.58 : x
  2. Step 2: Convert to fraction form
    8,535.05/12,797.94 = 3,849.58/x
  3. Step 3: Cross multiply
    8,535.05x = 12,797.94 × 3,849.58
  4. Step 4: Simplify right side
    8,535.05x = 49,266,625.24
  5. Step 5: Solve for x
    x = 49,266,625.24/8,535.05
  6. Step 6: Final answer
    x = 5,772.27

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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.