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Finding the Fourth Proportional to 3,766.24, 5,648.88 and 1,574.68

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Solution

The fourth proportional to 3,766.24, 5,648.88 and 1,574.68 is: 2,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.24 : 5,648.88 = 1,574.68 : x
  2. Step 2: Convert to fraction form
    3,766.24/5,648.88 = 1,574.68/x
  3. Step 3: Cross multiply
    3,766.24x = 5,648.88 × 1,574.68
  4. Step 4: Simplify right side
    3,766.24x = 8,895,178.36
  5. Step 5: Solve for x
    x = 8,895,178.36/3,766.24
  6. Step 6: Final answer
    x = 2,361.82

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