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Finding the Fourth Proportional to 2,556.33, 3,827.15 and 1,575.82

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Solution

The fourth proportional to 2,556.33, 3,827.15 and 1,575.82 is: 2,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.33 : 3,827.15 = 1,575.82 : x
  2. Step 2: Convert to fraction form
    2,556.33/3,827.15 = 1,575.82/x
  3. Step 3: Cross multiply
    2,556.33x = 3,827.15 × 1,575.82
  4. Step 4: Simplify right side
    2,556.33x = 6,030,902.33
  5. Step 5: Solve for x
    x = 6,030,902.33/2,556.33
  6. Step 6: Final answer
    x = 2,359.21

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