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Finding the Fourth Proportional to 4,125.50, 6,189.86 and 1,815.38

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Solution

The fourth proportional to 4,125.50, 6,189.86 and 1,815.38 is: 2,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.50 : 6,189.86 = 1,815.38 : x
  2. Step 2: Convert to fraction form
    4,125.50/6,189.86 = 1,815.38/x
  3. Step 3: Cross multiply
    4,125.50x = 6,189.86 × 1,815.38
  4. Step 4: Simplify right side
    4,125.50x = 11,236,921.64
  5. Step 5: Solve for x
    x = 11,236,921.64/4,125.50
  6. Step 6: Final answer
    x = 2,723.78

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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.