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Finding the Fourth Proportional to 5,273.80, 7,910.86 and 1,811

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Solution

The fourth proportional to 5,273.80, 7,910.86 and 1,811 is: 2,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.80 : 7,910.86 = 1,811 : x
  2. Step 2: Convert to fraction form
    5,273.80/7,910.86 = 1,811/x
  3. Step 3: Cross multiply
    5,273.80x = 7,910.86 × 1,811
  4. Step 4: Simplify right side
    5,273.80x = 14,326,567.46
  5. Step 5: Solve for x
    x = 14,326,567.46/5,273.80
  6. Step 6: Final answer
    x = 2,716.55

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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.