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Finding the Fourth Proportional to 3,940.73, 5,909.28 and 1,166.41

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Solution

The fourth proportional to 3,940.73, 5,909.28 and 1,166.41 is: 1,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.73 : 5,909.28 = 1,166.41 : x
  2. Step 2: Convert to fraction form
    3,940.73/5,909.28 = 1,166.41/x
  3. Step 3: Cross multiply
    3,940.73x = 5,909.28 × 1,166.41
  4. Step 4: Simplify right side
    3,940.73x = 6,892,643.28
  5. Step 5: Solve for x
    x = 6,892,643.28/3,940.73
  6. Step 6: Final answer
    x = 1,749.08

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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.