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Finding the Fourth Proportional to 4,965.58, 6,851.08 and 3,198.22

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Solution

The fourth proportional to 4,965.58, 6,851.08 and 3,198.22 is: 4,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.58 : 6,851.08 = 3,198.22 : x
  2. Step 2: Convert to fraction form
    4,965.58/6,851.08 = 3,198.22/x
  3. Step 3: Cross multiply
    4,965.58x = 6,851.08 × 3,198.22
  4. Step 4: Simplify right side
    4,965.58x = 21,911,261.08
  5. Step 5: Solve for x
    x = 21,911,261.08/4,965.58
  6. Step 6: Final answer
    x = 4,412.63

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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.