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Finding the Fourth Proportional to 3,769.02, 5,198.04 and 3,069.18

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Solution

The fourth proportional to 3,769.02, 5,198.04 and 3,069.18 is: 4,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.02 : 5,198.04 = 3,069.18 : x
  2. Step 2: Convert to fraction form
    3,769.02/5,198.04 = 3,069.18/x
  3. Step 3: Cross multiply
    3,769.02x = 5,198.04 × 3,069.18
  4. Step 4: Simplify right side
    3,769.02x = 15,953,720.41
  5. Step 5: Solve for x
    x = 15,953,720.41/3,769.02
  6. Step 6: Final answer
    x = 4,232.86

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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.