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Finding the Fourth Proportional to 3,940.20, 5,910.23 and 1,600.18

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Solution

The fourth proportional to 3,940.20, 5,910.23 and 1,600.18 is: 2,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.20 : 5,910.23 = 1,600.18 : x
  2. Step 2: Convert to fraction form
    3,940.20/5,910.23 = 1,600.18/x
  3. Step 3: Cross multiply
    3,940.20x = 5,910.23 × 1,600.18
  4. Step 4: Simplify right side
    3,940.20x = 9,457,421.07
  5. Step 5: Solve for x
    x = 9,457,421.07/3,940.20
  6. Step 6: Final answer
    x = 2,400.24

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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.