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Finding the Fourth Proportional to 6,084.59, 9,128.26 and 2,189

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Solution

The fourth proportional to 6,084.59, 9,128.26 and 2,189 is: 3,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.59 : 9,128.26 = 2,189 : x
  2. Step 2: Convert to fraction form
    6,084.59/9,128.26 = 2,189/x
  3. Step 3: Cross multiply
    6,084.59x = 9,128.26 × 2,189
  4. Step 4: Simplify right side
    6,084.59x = 19,981,761.14
  5. Step 5: Solve for x
    x = 19,981,761.14/6,084.59
  6. Step 6: Final answer
    x = 3,283.99

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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.