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Finding the Fourth Proportional to 3,945.96, 5,920.02 and 1,604.52

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Solution

The fourth proportional to 3,945.96, 5,920.02 and 1,604.52 is: 2,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.96 : 5,920.02 = 1,604.52 : x
  2. Step 2: Convert to fraction form
    3,945.96/5,920.02 = 1,604.52/x
  3. Step 3: Cross multiply
    3,945.96x = 5,920.02 × 1,604.52
  4. Step 4: Simplify right side
    3,945.96x = 9,498,790.49
  5. Step 5: Solve for x
    x = 9,498,790.49/3,945.96
  6. Step 6: Final answer
    x = 2,407.22

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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.