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Finding the Fourth Proportional to 3,842.76, 5,756.54 and 2,540.28

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Solution

The fourth proportional to 3,842.76, 5,756.54 and 2,540.28 is: 3,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.76 : 5,756.54 = 2,540.28 : x
  2. Step 2: Convert to fraction form
    3,842.76/5,756.54 = 2,540.28/x
  3. Step 3: Cross multiply
    3,842.76x = 5,756.54 × 2,540.28
  4. Step 4: Simplify right side
    3,842.76x = 14,623,223.43
  5. Step 5: Solve for x
    x = 14,623,223.43/3,842.76
  6. Step 6: Final answer
    x = 3,805.40

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