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Finding the Fourth Proportional to 3,854.43, 5,782.20 and 1,256.76

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Solution

The fourth proportional to 3,854.43, 5,782.20 and 1,256.76 is: 1,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.43 : 5,782.20 = 1,256.76 : x
  2. Step 2: Convert to fraction form
    3,854.43/5,782.20 = 1,256.76/x
  3. Step 3: Cross multiply
    3,854.43x = 5,782.20 × 1,256.76
  4. Step 4: Simplify right side
    3,854.43x = 7,266,837.67
  5. Step 5: Solve for x
    x = 7,266,837.67/3,854.43
  6. Step 6: Final answer
    x = 1,885.32

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