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Finding the Fourth Proportional to 3,402.91, 5,078.50 and 3,315.43

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Solution

The fourth proportional to 3,402.91, 5,078.50 and 3,315.43 is: 4,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.91 : 5,078.50 = 3,315.43 : x
  2. Step 2: Convert to fraction form
    3,402.91/5,078.50 = 3,315.43/x
  3. Step 3: Cross multiply
    3,402.91x = 5,078.50 × 3,315.43
  4. Step 4: Simplify right side
    3,402.91x = 16,837,411.26
  5. Step 5: Solve for x
    x = 16,837,411.26/3,402.91
  6. Step 6: Final answer
    x = 4,947.94

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