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Finding the Fourth Proportional to 3,983.62, 5,966.16 and 3,845.20

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Solution

The fourth proportional to 3,983.62, 5,966.16 and 3,845.20 is: 5,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.62 : 5,966.16 = 3,845.20 : x
  2. Step 2: Convert to fraction form
    3,983.62/5,966.16 = 3,845.20/x
  3. Step 3: Cross multiply
    3,983.62x = 5,966.16 × 3,845.20
  4. Step 4: Simplify right side
    3,983.62x = 22,941,078.43
  5. Step 5: Solve for x
    x = 22,941,078.43/3,983.62
  6. Step 6: Final answer
    x = 5,758.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.