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Finding the Fourth Proportional to 6,005.96, 8,289.24 and 3,769.70

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Solution

The fourth proportional to 6,005.96, 8,289.24 and 3,769.70 is: 5,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.96 : 8,289.24 = 3,769.70 : x
  2. Step 2: Convert to fraction form
    6,005.96/8,289.24 = 3,769.70/x
  3. Step 3: Cross multiply
    6,005.96x = 8,289.24 × 3,769.70
  4. Step 4: Simplify right side
    6,005.96x = 31,247,948.03
  5. Step 5: Solve for x
    x = 31,247,948.03/6,005.96
  6. Step 6: Final answer
    x = 5,202.82

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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.