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Finding the Fourth Proportional to 6,139.45, 9,198.17 and 3,730.79

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Solution

The fourth proportional to 6,139.45, 9,198.17 and 3,730.79 is: 5,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.45 : 9,198.17 = 3,730.79 : x
  2. Step 2: Convert to fraction form
    6,139.45/9,198.17 = 3,730.79/x
  3. Step 3: Cross multiply
    6,139.45x = 9,198.17 × 3,730.79
  4. Step 4: Simplify right side
    6,139.45x = 34,316,376.01
  5. Step 5: Solve for x
    x = 34,316,376.01/6,139.45
  6. Step 6: Final answer
    x = 5,589.49

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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.