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Finding the Fourth Proportional to 5,967.38, 8,945.94 and 2,071.28

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Solution

The fourth proportional to 5,967.38, 8,945.94 and 2,071.28 is: 3,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.38 : 8,945.94 = 2,071.28 : x
  2. Step 2: Convert to fraction form
    5,967.38/8,945.94 = 2,071.28/x
  3. Step 3: Cross multiply
    5,967.38x = 8,945.94 × 2,071.28
  4. Step 4: Simplify right side
    5,967.38x = 18,529,546.60
  5. Step 5: Solve for x
    x = 18,529,546.60/5,967.38
  6. Step 6: Final answer
    x = 3,105.14

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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.