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Finding the Fourth Proportional to 6,366.63, 8,786.04 and 3,849.03

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Solution

The fourth proportional to 6,366.63, 8,786.04 and 3,849.03 is: 5,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.63 : 8,786.04 = 3,849.03 : x
  2. Step 2: Convert to fraction form
    6,366.63/8,786.04 = 3,849.03/x
  3. Step 3: Cross multiply
    6,366.63x = 8,786.04 × 3,849.03
  4. Step 4: Simplify right side
    6,366.63x = 33,817,731.54
  5. Step 5: Solve for x
    x = 33,817,731.54/6,366.63
  6. Step 6: Final answer
    x = 5,311.72

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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.