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Finding the Fourth Proportional to 4,786.38, 6,604.02 and 2,797.02

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Solution

The fourth proportional to 4,786.38, 6,604.02 and 2,797.02 is: 3,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.38 : 6,604.02 = 2,797.02 : x
  2. Step 2: Convert to fraction form
    4,786.38/6,604.02 = 2,797.02/x
  3. Step 3: Cross multiply
    4,786.38x = 6,604.02 × 2,797.02
  4. Step 4: Simplify right side
    4,786.38x = 18,471,576.02
  5. Step 5: Solve for x
    x = 18,471,576.02/4,786.38
  6. Step 6: Final answer
    x = 3,859.20

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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.