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Finding the Fourth Proportional to 3,976.92, 5,953.50 and 3,280.32

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Solution

The fourth proportional to 3,976.92, 5,953.50 and 3,280.32 is: 4,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.92 : 5,953.50 = 3,280.32 : x
  2. Step 2: Convert to fraction form
    3,976.92/5,953.50 = 3,280.32/x
  3. Step 3: Cross multiply
    3,976.92x = 5,953.50 × 3,280.32
  4. Step 4: Simplify right side
    3,976.92x = 19,529,385.12
  5. Step 5: Solve for x
    x = 19,529,385.12/3,976.92
  6. Step 6: Final answer
    x = 4,910.68

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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.