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Finding the Fourth Proportional to 5,472.63, 8,212.19 and 2,012.31

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Solution

The fourth proportional to 5,472.63, 8,212.19 and 2,012.31 is: 3,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.63 : 8,212.19 = 2,012.31 : x
  2. Step 2: Convert to fraction form
    5,472.63/8,212.19 = 2,012.31/x
  3. Step 3: Cross multiply
    5,472.63x = 8,212.19 × 2,012.31
  4. Step 4: Simplify right side
    5,472.63x = 16,525,462.00
  5. Step 5: Solve for x
    x = 16,525,462.00/5,472.63
  6. Step 6: Final answer
    x = 3,019.66

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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.