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Finding the Fourth Proportional to 3,782.46, 5,673.30 and 2,557.74

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Solution

The fourth proportional to 3,782.46, 5,673.30 and 2,557.74 is: 3,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.46 : 5,673.30 = 2,557.74 : x
  2. Step 2: Convert to fraction form
    3,782.46/5,673.30 = 2,557.74/x
  3. Step 3: Cross multiply
    3,782.46x = 5,673.30 × 2,557.74
  4. Step 4: Simplify right side
    3,782.46x = 14,510,826.34
  5. Step 5: Solve for x
    x = 14,510,826.34/3,782.46
  6. Step 6: Final answer
    x = 3,836.35

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