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Finding the Fourth Proportional to 6,005.60, 8,279.16 and 4,231.70

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Solution

The fourth proportional to 6,005.60, 8,279.16 and 4,231.70 is: 5,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.60 : 8,279.16 = 4,231.70 : x
  2. Step 2: Convert to fraction form
    6,005.60/8,279.16 = 4,231.70/x
  3. Step 3: Cross multiply
    6,005.60x = 8,279.16 × 4,231.70
  4. Step 4: Simplify right side
    6,005.60x = 35,034,921.37
  5. Step 5: Solve for x
    x = 35,034,921.37/6,005.60
  6. Step 6: Final answer
    x = 5,833.71

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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.