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Finding the Fourth Proportional to 3,640.57, 5,023.21 and 2,313.79

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Solution

The fourth proportional to 3,640.57, 5,023.21 and 2,313.79 is: 3,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.57 : 5,023.21 = 2,313.79 : x
  2. Step 2: Convert to fraction form
    3,640.57/5,023.21 = 2,313.79/x
  3. Step 3: Cross multiply
    3,640.57x = 5,023.21 × 2,313.79
  4. Step 4: Simplify right side
    3,640.57x = 11,622,653.07
  5. Step 5: Solve for x
    x = 11,622,653.07/3,640.57
  6. Step 6: Final answer
    x = 3,192.54

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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.