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Finding the Fourth Proportional to 3,243.65, 4,474.46 and 2,823.26

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Solution

The fourth proportional to 3,243.65, 4,474.46 and 2,823.26 is: 3,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.65 : 4,474.46 = 2,823.26 : x
  2. Step 2: Convert to fraction form
    3,243.65/4,474.46 = 2,823.26/x
  3. Step 3: Cross multiply
    3,243.65x = 4,474.46 × 2,823.26
  4. Step 4: Simplify right side
    3,243.65x = 12,632,541.57
  5. Step 5: Solve for x
    x = 12,632,541.57/3,243.65
  6. Step 6: Final answer
    x = 3,894.55

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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.