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Finding the Fourth Proportional to 3,290.75, 4,527.09 and 3,198.49

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Solution

The fourth proportional to 3,290.75, 4,527.09 and 3,198.49 is: 4,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.75 : 4,527.09 = 3,198.49 : x
  2. Step 2: Convert to fraction form
    3,290.75/4,527.09 = 3,198.49/x
  3. Step 3: Cross multiply
    3,290.75x = 4,527.09 × 3,198.49
  4. Step 4: Simplify right side
    3,290.75x = 14,479,840.78
  5. Step 5: Solve for x
    x = 14,479,840.78/3,290.75
  6. Step 6: Final answer
    x = 4,400.16

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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.