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Finding the Fourth Proportional to 4,512.44, 6,764.52 and 2,864

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Solution

The fourth proportional to 4,512.44, 6,764.52 and 2,864 is: 4,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.44 : 6,764.52 = 2,864 : x
  2. Step 2: Convert to fraction form
    4,512.44/6,764.52 = 2,864/x
  3. Step 3: Cross multiply
    4,512.44x = 6,764.52 × 2,864
  4. Step 4: Simplify right side
    4,512.44x = 19,373,585.28
  5. Step 5: Solve for x
    x = 19,373,585.28/4,512.44
  6. Step 6: Final answer
    x = 4,293.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.