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Finding the Fourth Proportional to 4,198.64, 6,266.48 and 4,129.42

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Solution

The fourth proportional to 4,198.64, 6,266.48 and 4,129.42 is: 6,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.64 : 6,266.48 = 4,129.42 : x
  2. Step 2: Convert to fraction form
    4,198.64/6,266.48 = 4,129.42/x
  3. Step 3: Cross multiply
    4,198.64x = 6,266.48 × 4,129.42
  4. Step 4: Simplify right side
    4,198.64x = 25,876,927.84
  5. Step 5: Solve for x
    x = 25,876,927.84/4,198.64
  6. Step 6: Final answer
    x = 6,163.17

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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.