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Finding the Fourth Proportional to 3,339.57, 4,606.38 and 2,144.82

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Solution

The fourth proportional to 3,339.57, 4,606.38 and 2,144.82 is: 2,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.57 : 4,606.38 = 2,144.82 : x
  2. Step 2: Convert to fraction form
    3,339.57/4,606.38 = 2,144.82/x
  3. Step 3: Cross multiply
    3,339.57x = 4,606.38 × 2,144.82
  4. Step 4: Simplify right side
    3,339.57x = 9,879,855.95
  5. Step 5: Solve for x
    x = 9,879,855.95/3,339.57
  6. Step 6: Final answer
    x = 2,958.42

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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.