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Finding the Fourth Proportional to 4,223.98, 6,336 and 2,764.36

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Solution

The fourth proportional to 4,223.98, 6,336 and 2,764.36 is: 4,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.98 : 6,336 = 2,764.36 : x
  2. Step 2: Convert to fraction form
    4,223.98/6,336 = 2,764.36/x
  3. Step 3: Cross multiply
    4,223.98x = 6,336 × 2,764.36
  4. Step 4: Simplify right side
    4,223.98x = 17,514,984.96
  5. Step 5: Solve for x
    x = 17,514,984.96/4,223.98
  6. Step 6: Final answer
    x = 4,146.56

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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.