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Finding the Fourth Proportional to 4,788.50, 7,179.17 and 3,224.12

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Solution

The fourth proportional to 4,788.50, 7,179.17 and 3,224.12 is: 4,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.50 : 7,179.17 = 3,224.12 : x
  2. Step 2: Convert to fraction form
    4,788.50/7,179.17 = 3,224.12/x
  3. Step 3: Cross multiply
    4,788.50x = 7,179.17 × 3,224.12
  4. Step 4: Simplify right side
    4,788.50x = 23,146,477.26
  5. Step 5: Solve for x
    x = 23,146,477.26/4,788.50
  6. Step 6: Final answer
    x = 4,833.76

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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.