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Finding the Fourth Proportional to 5,194.92, 7,790.30 and 2,457

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Solution

The fourth proportional to 5,194.92, 7,790.30 and 2,457 is: 3,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.92 : 7,790.30 = 2,457 : x
  2. Step 2: Convert to fraction form
    5,194.92/7,790.30 = 2,457/x
  3. Step 3: Cross multiply
    5,194.92x = 7,790.30 × 2,457
  4. Step 4: Simplify right side
    5,194.92x = 19,140,767.10
  5. Step 5: Solve for x
    x = 19,140,767.10/5,194.92
  6. Step 6: Final answer
    x = 3,684.52

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