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Finding the Fourth Proportional to 3,847.31, 5,309.28 and 2,168.72

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Solution

The fourth proportional to 3,847.31, 5,309.28 and 2,168.72 is: 2,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.31 : 5,309.28 = 2,168.72 : x
  2. Step 2: Convert to fraction form
    3,847.31/5,309.28 = 2,168.72/x
  3. Step 3: Cross multiply
    3,847.31x = 5,309.28 × 2,168.72
  4. Step 4: Simplify right side
    3,847.31x = 11,514,315.18
  5. Step 5: Solve for x
    x = 11,514,315.18/3,847.31
  6. Step 6: Final answer
    x = 2,992.83

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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.