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Finding the Fourth Proportional to 3,463.32, 5,182.56 and 3,231.60

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Solution

The fourth proportional to 3,463.32, 5,182.56 and 3,231.60 is: 4,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.32 : 5,182.56 = 3,231.60 : x
  2. Step 2: Convert to fraction form
    3,463.32/5,182.56 = 3,231.60/x
  3. Step 3: Cross multiply
    3,463.32x = 5,182.56 × 3,231.60
  4. Step 4: Simplify right side
    3,463.32x = 16,747,960.90
  5. Step 5: Solve for x
    x = 16,747,960.90/3,463.32
  6. Step 6: Final answer
    x = 4,835.81

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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.