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Finding the Fourth Proportional to 3,640.80, 5,025.60 and 2,244

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Solution

The fourth proportional to 3,640.80, 5,025.60 and 2,244 is: 3,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.80 : 5,025.60 = 2,244 : x
  2. Step 2: Convert to fraction form
    3,640.80/5,025.60 = 2,244/x
  3. Step 3: Cross multiply
    3,640.80x = 5,025.60 × 2,244
  4. Step 4: Simplify right side
    3,640.80x = 11,277,446.40
  5. Step 5: Solve for x
    x = 11,277,446.40/3,640.80
  6. Step 6: Final answer
    x = 3,097.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.