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Finding the Fourth Proportional to 5,541, 8,311.49 and 3,230.88

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Solution

The fourth proportional to 5,541, 8,311.49 and 3,230.88 is: 4,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541 : 8,311.49 = 3,230.88 : x
  2. Step 2: Convert to fraction form
    5,541/8,311.49 = 3,230.88/x
  3. Step 3: Cross multiply
    5,541x = 8,311.49 × 3,230.88
  4. Step 4: Simplify right side
    5,541x = 26,853,426.81
  5. Step 5: Solve for x
    x = 26,853,426.81/5,541
  6. Step 6: Final answer
    x = 4,846.31

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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.