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Finding the Fourth Proportional to 5,997.96, 8,269.83 and 4,932

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Solution

The fourth proportional to 5,997.96, 8,269.83 and 4,932 is: 6,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.96 : 8,269.83 = 4,932 : x
  2. Step 2: Convert to fraction form
    5,997.96/8,269.83 = 4,932/x
  3. Step 3: Cross multiply
    5,997.96x = 8,269.83 × 4,932
  4. Step 4: Simplify right side
    5,997.96x = 40,786,801.56
  5. Step 5: Solve for x
    x = 40,786,801.56/5,997.96
  6. Step 6: Final answer
    x = 6,800.11

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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.