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Finding the Fourth Proportional to 3,945.77, 5,451.71 and 3,112.82

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Solution

The fourth proportional to 3,945.77, 5,451.71 and 3,112.82 is: 4,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.77 : 5,451.71 = 3,112.82 : x
  2. Step 2: Convert to fraction form
    3,945.77/5,451.71 = 3,112.82/x
  3. Step 3: Cross multiply
    3,945.77x = 5,451.71 × 3,112.82
  4. Step 4: Simplify right side
    3,945.77x = 16,970,149.10
  5. Step 5: Solve for x
    x = 16,970,149.10/3,945.77
  6. Step 6: Final answer
    x = 4,300.85

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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.