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Finding the Fourth Proportional to 4,112.92, 6,164.01 and 3,591.68

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Solution

The fourth proportional to 4,112.92, 6,164.01 and 3,591.68 is: 5,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.92 : 6,164.01 = 3,591.68 : x
  2. Step 2: Convert to fraction form
    4,112.92/6,164.01 = 3,591.68/x
  3. Step 3: Cross multiply
    4,112.92x = 6,164.01 × 3,591.68
  4. Step 4: Simplify right side
    4,112.92x = 22,139,166.85
  5. Step 5: Solve for x
    x = 22,139,166.85/4,112.92
  6. Step 6: Final answer
    x = 5,382.84

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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.