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Finding the Fourth Proportional to 3,968.43, 5,924.07 and 3,680.00

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Solution

The fourth proportional to 3,968.43, 5,924.07 and 3,680.00 is: 5,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.43 : 5,924.07 = 3,680.00 : x
  2. Step 2: Convert to fraction form
    3,968.43/5,924.07 = 3,680.00/x
  3. Step 3: Cross multiply
    3,968.43x = 5,924.07 × 3,680.00
  4. Step 4: Simplify right side
    3,968.43x = 21,800,570.19
  5. Step 5: Solve for x
    x = 21,800,570.19/3,968.43
  6. Step 6: Final answer
    x = 5,493.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.