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Finding the Fourth Proportional to 6,321.50, 8,723.82 and 3,488.90

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Solution

The fourth proportional to 6,321.50, 8,723.82 and 3,488.90 is: 4,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.50 : 8,723.82 = 3,488.90 : x
  2. Step 2: Convert to fraction form
    6,321.50/8,723.82 = 3,488.90/x
  3. Step 3: Cross multiply
    6,321.50x = 8,723.82 × 3,488.90
  4. Step 4: Simplify right side
    6,321.50x = 30,436,535.60
  5. Step 5: Solve for x
    x = 30,436,535.60/6,321.50
  6. Step 6: Final answer
    x = 4,814.76

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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.