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Finding the Fourth Proportional to 3,162.26, 4,363.93 and 1,836.22

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Solution

The fourth proportional to 3,162.26, 4,363.93 and 1,836.22 is: 2,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.26 : 4,363.93 = 1,836.22 : x
  2. Step 2: Convert to fraction form
    3,162.26/4,363.93 = 1,836.22/x
  3. Step 3: Cross multiply
    3,162.26x = 4,363.93 × 1,836.22
  4. Step 4: Simplify right side
    3,162.26x = 8,013,135.54
  5. Step 5: Solve for x
    x = 8,013,135.54/3,162.26
  6. Step 6: Final answer
    x = 2,533.99

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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.