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Finding the Fourth Proportional to 3,932.56, 5,894.58 and 1,742.86

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Solution

The fourth proportional to 3,932.56, 5,894.58 and 1,742.86 is: 2,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.56 : 5,894.58 = 1,742.86 : x
  2. Step 2: Convert to fraction form
    3,932.56/5,894.58 = 1,742.86/x
  3. Step 3: Cross multiply
    3,932.56x = 5,894.58 × 1,742.86
  4. Step 4: Simplify right side
    3,932.56x = 10,273,427.70
  5. Step 5: Solve for x
    x = 10,273,427.70/3,932.56
  6. Step 6: Final answer
    x = 2,612.40

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