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Finding the Fourth Proportional to 3,940.00, 5,909.97 and 1,166.69

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Solution

The fourth proportional to 3,940.00, 5,909.97 and 1,166.69 is: 1,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.00 : 5,909.97 = 1,166.69 : x
  2. Step 2: Convert to fraction form
    3,940.00/5,909.97 = 1,166.69/x
  3. Step 3: Cross multiply
    3,940.00x = 5,909.97 × 1,166.69
  4. Step 4: Simplify right side
    3,940.00x = 6,895,122.05
  5. Step 5: Solve for x
    x = 6,895,122.05/3,940.00
  6. Step 6: Final answer
    x = 1,750.03

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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.