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Finding the Fourth Proportional to 5,542.46, 8,314.71 and 1,844.34

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Solution

The fourth proportional to 5,542.46, 8,314.71 and 1,844.34 is: 2,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.46 : 8,314.71 = 1,844.34 : x
  2. Step 2: Convert to fraction form
    5,542.46/8,314.71 = 1,844.34/x
  3. Step 3: Cross multiply
    5,542.46x = 8,314.71 × 1,844.34
  4. Step 4: Simplify right side
    5,542.46x = 15,335,143.02
  5. Step 5: Solve for x
    x = 15,335,143.02/5,542.46
  6. Step 6: Final answer
    x = 2,766.85

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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.