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Finding the Fourth Proportional to 5,472, 8,211.24 and 2,351.92

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Solution

The fourth proportional to 5,472, 8,211.24 and 2,351.92 is: 3,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 8,211.24 = 2,351.92 : x
  2. Step 2: Convert to fraction form
    5,472/8,211.24 = 2,351.92/x
  3. Step 3: Cross multiply
    5,472x = 8,211.24 × 2,351.92
  4. Step 4: Simplify right side
    5,472x = 19,312,179.58
  5. Step 5: Solve for x
    x = 19,312,179.58/5,472
  6. Step 6: Final answer
    x = 3,529.27

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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.