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Finding the Fourth Proportional to 4,604.74, 6,359.82 and 3,039.82

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Solution

The fourth proportional to 4,604.74, 6,359.82 and 3,039.82 is: 4,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.74 : 6,359.82 = 3,039.82 : x
  2. Step 2: Convert to fraction form
    4,604.74/6,359.82 = 3,039.82/x
  3. Step 3: Cross multiply
    4,604.74x = 6,359.82 × 3,039.82
  4. Step 4: Simplify right side
    4,604.74x = 19,332,708.03
  5. Step 5: Solve for x
    x = 19,332,708.03/4,604.74
  6. Step 6: Final answer
    x = 4,198.44

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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.