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Finding the Fourth Proportional to 3,142.32, 4,713.92 and 1,826.68

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Solution

The fourth proportional to 3,142.32, 4,713.92 and 1,826.68 is: 2,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.32 : 4,713.92 = 1,826.68 : x
  2. Step 2: Convert to fraction form
    3,142.32/4,713.92 = 1,826.68/x
  3. Step 3: Cross multiply
    3,142.32x = 4,713.92 × 1,826.68
  4. Step 4: Simplify right side
    3,142.32x = 8,610,823.39
  5. Step 5: Solve for x
    x = 8,610,823.39/3,142.32
  6. Step 6: Final answer
    x = 2,740.28

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