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Finding the Fourth Proportional to 5,472.50, 8,212.46 and 2,551.10

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Solution

The fourth proportional to 5,472.50, 8,212.46 and 2,551.10 is: 3,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.50 : 8,212.46 = 2,551.10 : x
  2. Step 2: Convert to fraction form
    5,472.50/8,212.46 = 2,551.10/x
  3. Step 3: Cross multiply
    5,472.50x = 8,212.46 × 2,551.10
  4. Step 4: Simplify right side
    5,472.50x = 20,950,752.89
  5. Step 5: Solve for x
    x = 20,950,752.89/5,472.50
  6. Step 6: Final answer
    x = 3,828.37

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Why These Related Problems?

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