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Finding the Fourth Proportional to 5,999.60, 8,279.86 and 4,231.80

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Solution

The fourth proportional to 5,999.60, 8,279.86 and 4,231.80 is: 5,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.60 : 8,279.86 = 4,231.80 : x
  2. Step 2: Convert to fraction form
    5,999.60/8,279.86 = 4,231.80/x
  3. Step 3: Cross multiply
    5,999.60x = 8,279.86 × 4,231.80
  4. Step 4: Simplify right side
    5,999.60x = 35,038,711.55
  5. Step 5: Solve for x
    x = 35,038,711.55/5,999.60
  6. Step 6: Final answer
    x = 5,840.17

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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.