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Finding the Fourth Proportional to 4,757.96, 7,104.56 and 4,198.00

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Solution

The fourth proportional to 4,757.96, 7,104.56 and 4,198.00 is: 6,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.96 : 7,104.56 = 4,198.00 : x
  2. Step 2: Convert to fraction form
    4,757.96/7,104.56 = 4,198.00/x
  3. Step 3: Cross multiply
    4,757.96x = 7,104.56 × 4,198.00
  4. Step 4: Simplify right side
    4,757.96x = 29,824,941.06
  5. Step 5: Solve for x
    x = 29,824,941.06/4,757.96
  6. Step 6: Final answer
    x = 6,268.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.