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Finding the Fourth Proportional to 4,448.41, 6,138.86 and 2,879.24

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Solution

The fourth proportional to 4,448.41, 6,138.86 and 2,879.24 is: 3,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.41 : 6,138.86 = 2,879.24 : x
  2. Step 2: Convert to fraction form
    4,448.41/6,138.86 = 2,879.24/x
  3. Step 3: Cross multiply
    4,448.41x = 6,138.86 × 2,879.24
  4. Step 4: Simplify right side
    4,448.41x = 17,675,251.27
  5. Step 5: Solve for x
    x = 17,675,251.27/4,448.41
  6. Step 6: Final answer
    x = 3,973.39

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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.