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Finding the Fourth Proportional to 3,976.38, 5,965.77 and 3,903.48

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Solution

The fourth proportional to 3,976.38, 5,965.77 and 3,903.48 is: 5,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.38 : 5,965.77 = 3,903.48 : x
  2. Step 2: Convert to fraction form
    3,976.38/5,965.77 = 3,903.48/x
  3. Step 3: Cross multiply
    3,976.38x = 5,965.77 × 3,903.48
  4. Step 4: Simplify right side
    3,976.38x = 23,287,263.88
  5. Step 5: Solve for x
    x = 23,287,263.88/3,976.38
  6. Step 6: Final answer
    x = 5,856.40

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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.