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Finding the Fourth Proportional to 5,960, 8,940 and 4,084.04

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Solution

The fourth proportional to 5,960, 8,940 and 4,084.04 is: 6,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960 : 8,940 = 4,084.04 : x
  2. Step 2: Convert to fraction form
    5,960/8,940 = 4,084.04/x
  3. Step 3: Cross multiply
    5,960x = 8,940 × 4,084.04
  4. Step 4: Simplify right side
    5,960x = 36,511,317.60
  5. Step 5: Solve for x
    x = 36,511,317.60/5,960
  6. Step 6: Final answer
    x = 6,126.06

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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.