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Finding the Fourth Proportional to 3,819.72, 5,730.24 and 1,222.50

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Solution

The fourth proportional to 3,819.72, 5,730.24 and 1,222.50 is: 1,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.72 : 5,730.24 = 1,222.50 : x
  2. Step 2: Convert to fraction form
    3,819.72/5,730.24 = 1,222.50/x
  3. Step 3: Cross multiply
    3,819.72x = 5,730.24 × 1,222.50
  4. Step 4: Simplify right side
    3,819.72x = 7,005,218.40
  5. Step 5: Solve for x
    x = 7,005,218.40/3,819.72
  6. Step 6: Final answer
    x = 1,833.96

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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.