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Finding the Fourth Proportional to 4,209.66, 6,309.92 and 1,742.90

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Solution

The fourth proportional to 4,209.66, 6,309.92 and 1,742.90 is: 2,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.66 : 6,309.92 = 1,742.90 : x
  2. Step 2: Convert to fraction form
    4,209.66/6,309.92 = 1,742.90/x
  3. Step 3: Cross multiply
    4,209.66x = 6,309.92 × 1,742.90
  4. Step 4: Simplify right side
    4,209.66x = 10,997,519.30
  5. Step 5: Solve for x
    x = 10,997,519.30/4,209.66
  6. Step 6: Final answer
    x = 2,612.45

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