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Finding the Fourth Proportional to 3,640.16, 5,023.97 and 2,224.67

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Solution

The fourth proportional to 3,640.16, 5,023.97 and 2,224.67 is: 3,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.16 : 5,023.97 = 2,224.67 : x
  2. Step 2: Convert to fraction form
    3,640.16/5,023.97 = 2,224.67/x
  3. Step 3: Cross multiply
    3,640.16x = 5,023.97 × 2,224.67
  4. Step 4: Simplify right side
    3,640.16x = 11,176,664.22
  5. Step 5: Solve for x
    x = 11,176,664.22/3,640.16
  6. Step 6: Final answer
    x = 3,070.38

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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.