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Finding the Fourth Proportional to 4,198.41, 5,798.34 and 3,265.41

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Solution

The fourth proportional to 4,198.41, 5,798.34 and 3,265.41 is: 4,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.41 : 5,798.34 = 3,265.41 : x
  2. Step 2: Convert to fraction form
    4,198.41/5,798.34 = 3,265.41/x
  3. Step 3: Cross multiply
    4,198.41x = 5,798.34 × 3,265.41
  4. Step 4: Simplify right side
    4,198.41x = 18,933,957.42
  5. Step 5: Solve for x
    x = 18,933,957.42/4,198.41
  6. Step 6: Final answer
    x = 4,509.79

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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.