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Finding the Fourth Proportional to 3,805.76, 5,710.40 and 1,342.42

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Solution

The fourth proportional to 3,805.76, 5,710.40 and 1,342.42 is: 2,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.76 : 5,710.40 = 1,342.42 : x
  2. Step 2: Convert to fraction form
    3,805.76/5,710.40 = 1,342.42/x
  3. Step 3: Cross multiply
    3,805.76x = 5,710.40 × 1,342.42
  4. Step 4: Simplify right side
    3,805.76x = 7,665,755.17
  5. Step 5: Solve for x
    x = 7,665,755.17/3,805.76
  6. Step 6: Final answer
    x = 2,014.25

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