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Finding the Fourth Proportional to 3,914.61, 5,871.57 and 1,575.90

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Solution

The fourth proportional to 3,914.61, 5,871.57 and 1,575.90 is: 2,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.61 : 5,871.57 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    3,914.61/5,871.57 = 1,575.90/x
  3. Step 3: Cross multiply
    3,914.61x = 5,871.57 × 1,575.90
  4. Step 4: Simplify right side
    3,914.61x = 9,253,007.16
  5. Step 5: Solve for x
    x = 9,253,007.16/3,914.61
  6. Step 6: Final answer
    x = 2,363.71

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