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Finding the Fourth Proportional to 3,983.11, 5,973.17 and 1,171.10

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Solution

The fourth proportional to 3,983.11, 5,973.17 and 1,171.10 is: 1,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.11 : 5,973.17 = 1,171.10 : x
  2. Step 2: Convert to fraction form
    3,983.11/5,973.17 = 1,171.10/x
  3. Step 3: Cross multiply
    3,983.11x = 5,973.17 × 1,171.10
  4. Step 4: Simplify right side
    3,983.11x = 6,995,179.39
  5. Step 5: Solve for x
    x = 6,995,179.39/3,983.11
  6. Step 6: Final answer
    x = 1,756.21

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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.