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Finding the Fourth Proportional to 4,467.26, 6,164.82 and 2,698.82

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Solution

The fourth proportional to 4,467.26, 6,164.82 and 2,698.82 is: 3,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.26 : 6,164.82 = 2,698.82 : x
  2. Step 2: Convert to fraction form
    4,467.26/6,164.82 = 2,698.82/x
  3. Step 3: Cross multiply
    4,467.26x = 6,164.82 × 2,698.82
  4. Step 4: Simplify right side
    4,467.26x = 16,637,739.51
  5. Step 5: Solve for x
    x = 16,637,739.51/4,467.26
  6. Step 6: Final answer
    x = 3,724.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.