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Finding the Fourth Proportional to 5,409.92, 8,112.16 and 2,120.48

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Solution

The fourth proportional to 5,409.92, 8,112.16 and 2,120.48 is: 3,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.92 : 8,112.16 = 2,120.48 : x
  2. Step 2: Convert to fraction form
    5,409.92/8,112.16 = 2,120.48/x
  3. Step 3: Cross multiply
    5,409.92x = 8,112.16 × 2,120.48
  4. Step 4: Simplify right side
    5,409.92x = 17,201,673.04
  5. Step 5: Solve for x
    x = 17,201,673.04/5,409.92
  6. Step 6: Final answer
    x = 3,179.65

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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.