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Finding the Fourth Proportional to 5,960.94, 8,941.41 and 2,065.38

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Solution

The fourth proportional to 5,960.94, 8,941.41 and 2,065.38 is: 3,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.94 : 8,941.41 = 2,065.38 : x
  2. Step 2: Convert to fraction form
    5,960.94/8,941.41 = 2,065.38/x
  3. Step 3: Cross multiply
    5,960.94x = 8,941.41 × 2,065.38
  4. Step 4: Simplify right side
    5,960.94x = 18,467,409.39
  5. Step 5: Solve for x
    x = 18,467,409.39/5,960.94
  6. Step 6: Final answer
    x = 3,098.07

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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.