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Finding the Fourth Proportional to 3,934.74, 5,902.12 and 1,742.88

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Solution

The fourth proportional to 3,934.74, 5,902.12 and 1,742.88 is: 2,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.74 : 5,902.12 = 1,742.88 : x
  2. Step 2: Convert to fraction form
    3,934.74/5,902.12 = 1,742.88/x
  3. Step 3: Cross multiply
    3,934.74x = 5,902.12 × 1,742.88
  4. Step 4: Simplify right side
    3,934.74x = 10,286,686.91
  5. Step 5: Solve for x
    x = 10,286,686.91/3,934.74
  6. Step 6: Final answer
    x = 2,614.32

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