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Finding the Fourth Proportional to 5,201.69, 7,805.61 and 1,917.09

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Solution

The fourth proportional to 5,201.69, 7,805.61 and 1,917.09 is: 2,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.69 : 7,805.61 = 1,917.09 : x
  2. Step 2: Convert to fraction form
    5,201.69/7,805.61 = 1,917.09/x
  3. Step 3: Cross multiply
    5,201.69x = 7,805.61 × 1,917.09
  4. Step 4: Simplify right side
    5,201.69x = 14,964,017.85
  5. Step 5: Solve for x
    x = 14,964,017.85/5,201.69
  6. Step 6: Final answer
    x = 2,876.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.