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Finding the Fourth Proportional to 3,833.56, 5,742.06 and 2,594.17

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Solution

The fourth proportional to 3,833.56, 5,742.06 and 2,594.17 is: 3,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.56 : 5,742.06 = 2,594.17 : x
  2. Step 2: Convert to fraction form
    3,833.56/5,742.06 = 2,594.17/x
  3. Step 3: Cross multiply
    3,833.56x = 5,742.06 × 2,594.17
  4. Step 4: Simplify right side
    3,833.56x = 14,895,879.79
  5. Step 5: Solve for x
    x = 14,895,879.79/3,833.56
  6. Step 6: Final answer
    x = 3,885.65

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