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Finding the Fourth Proportional to 5,757.50, 8,631.12 and 3,288.80

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Solution

The fourth proportional to 5,757.50, 8,631.12 and 3,288.80 is: 4,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.50 : 8,631.12 = 3,288.80 : x
  2. Step 2: Convert to fraction form
    5,757.50/8,631.12 = 3,288.80/x
  3. Step 3: Cross multiply
    5,757.50x = 8,631.12 × 3,288.80
  4. Step 4: Simplify right side
    5,757.50x = 28,386,027.46
  5. Step 5: Solve for x
    x = 28,386,027.46/5,757.50
  6. Step 6: Final answer
    x = 4,930.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.