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Finding the Fourth Proportional to 3,290.43, 4,935.53 and 825.27

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Solution

The fourth proportional to 3,290.43, 4,935.53 and 825.27 is: 1,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.43 : 4,935.53 = 825.27 : x
  2. Step 2: Convert to fraction form
    3,290.43/4,935.53 = 825.27/x
  3. Step 3: Cross multiply
    3,290.43x = 4,935.53 × 825.27
  4. Step 4: Simplify right side
    3,290.43x = 4,073,144.84
  5. Step 5: Solve for x
    x = 4,073,144.84/3,290.43
  6. Step 6: Final answer
    x = 1,237.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.