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Finding the Fourth Proportional to 3,780.26, 5,655.80 and 2,541.78

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Solution

The fourth proportional to 3,780.26, 5,655.80 and 2,541.78 is: 3,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.26 : 5,655.80 = 2,541.78 : x
  2. Step 2: Convert to fraction form
    3,780.26/5,655.80 = 2,541.78/x
  3. Step 3: Cross multiply
    3,780.26x = 5,655.80 × 2,541.78
  4. Step 4: Simplify right side
    3,780.26x = 14,375,799.32
  5. Step 5: Solve for x
    x = 14,375,799.32/3,780.26
  6. Step 6: Final answer
    x = 3,802.86

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