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Finding the Fourth Proportional to 4,764.72, 6,578.37 and 3,272.16

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Solution

The fourth proportional to 4,764.72, 6,578.37 and 3,272.16 is: 4,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.72 : 6,578.37 = 3,272.16 : x
  2. Step 2: Convert to fraction form
    4,764.72/6,578.37 = 3,272.16/x
  3. Step 3: Cross multiply
    4,764.72x = 6,578.37 × 3,272.16
  4. Step 4: Simplify right side
    4,764.72x = 21,525,479.18
  5. Step 5: Solve for x
    x = 21,525,479.18/4,764.72
  6. Step 6: Final answer
    x = 4,517.68

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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.