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Finding the Fourth Proportional to 3,827.32, 5,740.02 and 2,449.24

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Solution

The fourth proportional to 3,827.32, 5,740.02 and 2,449.24 is: 3,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.32 : 5,740.02 = 2,449.24 : x
  2. Step 2: Convert to fraction form
    3,827.32/5,740.02 = 2,449.24/x
  3. Step 3: Cross multiply
    3,827.32x = 5,740.02 × 2,449.24
  4. Step 4: Simplify right side
    3,827.32x = 14,058,686.58
  5. Step 5: Solve for x
    x = 14,058,686.58/3,827.32
  6. Step 6: Final answer
    x = 3,673.25

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