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Finding the Fourth Proportional to 2,581.92, 3,875.04 and 2,072.16

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Solution

The fourth proportional to 2,581.92, 3,875.04 and 2,072.16 is: 3,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.92 : 3,875.04 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    2,581.92/3,875.04 = 2,072.16/x
  3. Step 3: Cross multiply
    2,581.92x = 3,875.04 × 2,072.16
  4. Step 4: Simplify right side
    2,581.92x = 8,029,702.89
  5. Step 5: Solve for x
    x = 8,029,702.89/2,581.92
  6. Step 6: Final answer
    x = 3,109.97

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