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Finding the Fourth Proportional to 4,764.54, 6,578.34 and 2,972.73

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Solution

The fourth proportional to 4,764.54, 6,578.34 and 2,972.73 is: 4,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.54 : 6,578.34 = 2,972.73 : x
  2. Step 2: Convert to fraction form
    4,764.54/6,578.34 = 2,972.73/x
  3. Step 3: Cross multiply
    4,764.54x = 6,578.34 × 2,972.73
  4. Step 4: Simplify right side
    4,764.54x = 19,555,628.67
  5. Step 5: Solve for x
    x = 19,555,628.67/4,764.54
  6. Step 6: Final answer
    x = 4,104.41

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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.