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Finding the Fourth Proportional to 5,999.40, 8,279.46 and 3,640.14

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Solution

The fourth proportional to 5,999.40, 8,279.46 and 3,640.14 is: 5,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.40 : 8,279.46 = 3,640.14 : x
  2. Step 2: Convert to fraction form
    5,999.40/8,279.46 = 3,640.14/x
  3. Step 3: Cross multiply
    5,999.40x = 8,279.46 × 3,640.14
  4. Step 4: Simplify right side
    5,999.40x = 30,138,393.52
  5. Step 5: Solve for x
    x = 30,138,393.52/5,999.40
  6. Step 6: Final answer
    x = 5,023.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.