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Finding the Fourth Proportional to 3,640.53, 5,023.94 and 1,984.53

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Solution

The fourth proportional to 3,640.53, 5,023.94 and 1,984.53 is: 2,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.53 : 5,023.94 = 1,984.53 : x
  2. Step 2: Convert to fraction form
    3,640.53/5,023.94 = 1,984.53/x
  3. Step 3: Cross multiply
    3,640.53x = 5,023.94 × 1,984.53
  4. Step 4: Simplify right side
    3,640.53x = 9,970,159.65
  5. Step 5: Solve for x
    x = 9,970,159.65/3,640.53
  6. Step 6: Final answer
    x = 2,738.66

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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.