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Finding the Fourth Proportional to 5,542.83, 8,314.22 and 1,845.05

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Solution

The fourth proportional to 5,542.83, 8,314.22 and 1,845.05 is: 2,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.83 : 8,314.22 = 1,845.05 : x
  2. Step 2: Convert to fraction form
    5,542.83/8,314.22 = 1,845.05/x
  3. Step 3: Cross multiply
    5,542.83x = 8,314.22 × 1,845.05
  4. Step 4: Simplify right side
    5,542.83x = 15,340,179.61
  5. Step 5: Solve for x
    x = 15,340,179.61/5,542.83
  6. Step 6: Final answer
    x = 2,767.57

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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.