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Finding the Fourth Proportional to 5,912.94, 8,163.14 and 4,318

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Solution

The fourth proportional to 5,912.94, 8,163.14 and 4,318 is: 5,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.94 : 8,163.14 = 4,318 : x
  2. Step 2: Convert to fraction form
    5,912.94/8,163.14 = 4,318/x
  3. Step 3: Cross multiply
    5,912.94x = 8,163.14 × 4,318
  4. Step 4: Simplify right side
    5,912.94x = 35,248,438.52
  5. Step 5: Solve for x
    x = 35,248,438.52/5,912.94
  6. Step 6: Final answer
    x = 5,961.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.