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Finding the Fourth Proportional to 5,448.18, 8,167.38 and 1,983

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Solution

The fourth proportional to 5,448.18, 8,167.38 and 1,983 is: 2,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.18 : 8,167.38 = 1,983 : x
  2. Step 2: Convert to fraction form
    5,448.18/8,167.38 = 1,983/x
  3. Step 3: Cross multiply
    5,448.18x = 8,167.38 × 1,983
  4. Step 4: Simplify right side
    5,448.18x = 16,195,914.54
  5. Step 5: Solve for x
    x = 16,195,914.54/5,448.18
  6. Step 6: Final answer
    x = 2,972.72

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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.