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Finding the Fourth Proportional to 5,960.56, 8,942.16 and 2,497.84

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Solution

The fourth proportional to 5,960.56, 8,942.16 and 2,497.84 is: 3,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.56 : 8,942.16 = 2,497.84 : x
  2. Step 2: Convert to fraction form
    5,960.56/8,942.16 = 2,497.84/x
  3. Step 3: Cross multiply
    5,960.56x = 8,942.16 × 2,497.84
  4. Step 4: Simplify right side
    5,960.56x = 22,336,084.93
  5. Step 5: Solve for x
    x = 22,336,084.93/5,960.56
  6. Step 6: Final answer
    x = 3,747.31

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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.