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Finding the Fourth Proportional to 6,084.66, 9,144.03 and 3,619.86

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Solution

The fourth proportional to 6,084.66, 9,144.03 and 3,619.86 is: 5,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.66 : 9,144.03 = 3,619.86 : x
  2. Step 2: Convert to fraction form
    6,084.66/9,144.03 = 3,619.86/x
  3. Step 3: Cross multiply
    6,084.66x = 9,144.03 × 3,619.86
  4. Step 4: Simplify right side
    6,084.66x = 33,100,108.44
  5. Step 5: Solve for x
    x = 33,100,108.44/6,084.66
  6. Step 6: Final answer
    x = 5,439.93

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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.