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Finding the Fourth Proportional to 4,966.63, 6,855.49 and 3,198.24

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Solution

The fourth proportional to 4,966.63, 6,855.49 and 3,198.24 is: 4,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.63 : 6,855.49 = 3,198.24 : x
  2. Step 2: Convert to fraction form
    4,966.63/6,855.49 = 3,198.24/x
  3. Step 3: Cross multiply
    4,966.63x = 6,855.49 × 3,198.24
  4. Step 4: Simplify right side
    4,966.63x = 21,925,452.07
  5. Step 5: Solve for x
    x = 21,925,452.07/4,966.63
  6. Step 6: Final answer
    x = 4,414.55

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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.