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Finding the Fourth Proportional to 5,093.82, 7,641.81 and 1,583.73

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Solution

The fourth proportional to 5,093.82, 7,641.81 and 1,583.73 is: 2,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.82 : 7,641.81 = 1,583.73 : x
  2. Step 2: Convert to fraction form
    5,093.82/7,641.81 = 1,583.73/x
  3. Step 3: Cross multiply
    5,093.82x = 7,641.81 × 1,583.73
  4. Step 4: Simplify right side
    5,093.82x = 12,102,563.75
  5. Step 5: Solve for x
    x = 12,102,563.75/5,093.82
  6. Step 6: Final answer
    x = 2,375.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.