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Finding the Fourth Proportional to 5,960.14, 8,940.46 and 1,578.04

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Solution

The fourth proportional to 5,960.14, 8,940.46 and 1,578.04 is: 2,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.14 : 8,940.46 = 1,578.04 : x
  2. Step 2: Convert to fraction form
    5,960.14/8,940.46 = 1,578.04/x
  3. Step 3: Cross multiply
    5,960.14x = 8,940.46 × 1,578.04
  4. Step 4: Simplify right side
    5,960.14x = 14,108,403.50
  5. Step 5: Solve for x
    x = 14,108,403.50/5,960.14
  6. Step 6: Final answer
    x = 2,367.13

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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.