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Finding the Fourth Proportional to 3,847.41, 5,309.35 and 2,168.82

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Solution

The fourth proportional to 3,847.41, 5,309.35 and 2,168.82 is: 2,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.41 : 5,309.35 = 2,168.82 : x
  2. Step 2: Convert to fraction form
    3,847.41/5,309.35 = 2,168.82/x
  3. Step 3: Cross multiply
    3,847.41x = 5,309.35 × 2,168.82
  4. Step 4: Simplify right side
    3,847.41x = 11,515,024.47
  5. Step 5: Solve for x
    x = 11,515,024.47/3,847.41
  6. Step 6: Final answer
    x = 2,992.93

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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.