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Finding the Fourth Proportional to 3,223.57, 4,843.46 and 2,054.10

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Solution

The fourth proportional to 3,223.57, 4,843.46 and 2,054.10 is: 3,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.57 : 4,843.46 = 2,054.10 : x
  2. Step 2: Convert to fraction form
    3,223.57/4,843.46 = 2,054.10/x
  3. Step 3: Cross multiply
    3,223.57x = 4,843.46 × 2,054.10
  4. Step 4: Simplify right side
    3,223.57x = 9,948,951.19
  5. Step 5: Solve for x
    x = 9,948,951.19/3,223.57
  6. Step 6: Final answer
    x = 3,086.31

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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.