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Finding the Fourth Proportional to 3,885.29, 5,823.77 and 1,542.05

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Solution

The fourth proportional to 3,885.29, 5,823.77 and 1,542.05 is: 2,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.29 : 5,823.77 = 1,542.05 : x
  2. Step 2: Convert to fraction form
    3,885.29/5,823.77 = 1,542.05/x
  3. Step 3: Cross multiply
    3,885.29x = 5,823.77 × 1,542.05
  4. Step 4: Simplify right side
    3,885.29x = 8,980,526.17
  5. Step 5: Solve for x
    x = 8,980,526.17/3,885.29
  6. Step 6: Final answer
    x = 2,311.42

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