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Finding the Fourth Proportional to 4,464.58, 6,164.22 and 2,786.32

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Solution

The fourth proportional to 4,464.58, 6,164.22 and 2,786.32 is: 3,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.58 : 6,164.22 = 2,786.32 : x
  2. Step 2: Convert to fraction form
    4,464.58/6,164.22 = 2,786.32/x
  3. Step 3: Cross multiply
    4,464.58x = 6,164.22 × 2,786.32
  4. Step 4: Simplify right side
    4,464.58x = 17,175,489.47
  5. Step 5: Solve for x
    x = 17,175,489.47/4,464.58
  6. Step 6: Final answer
    x = 3,847.06

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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.