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Finding the Fourth Proportional to 5,475.70, 8,213.55 and 4,309.30

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Solution

The fourth proportional to 5,475.70, 8,213.55 and 4,309.30 is: 6,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.70 : 8,213.55 = 4,309.30 : x
  2. Step 2: Convert to fraction form
    5,475.70/8,213.55 = 4,309.30/x
  3. Step 3: Cross multiply
    5,475.70x = 8,213.55 × 4,309.30
  4. Step 4: Simplify right side
    5,475.70x = 35,394,651.02
  5. Step 5: Solve for x
    x = 35,394,651.02/5,475.70
  6. Step 6: Final answer
    x = 6,463.95

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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.