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Finding the Fourth Proportional to 2,582.28, 3,847.05 and 2,458.35

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Solution

The fourth proportional to 2,582.28, 3,847.05 and 2,458.35 is: 3,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.28 : 3,847.05 = 2,458.35 : x
  2. Step 2: Convert to fraction form
    2,582.28/3,847.05 = 2,458.35/x
  3. Step 3: Cross multiply
    2,582.28x = 3,847.05 × 2,458.35
  4. Step 4: Simplify right side
    2,582.28x = 9,457,395.37
  5. Step 5: Solve for x
    x = 9,457,395.37/2,582.28
  6. Step 6: Final answer
    x = 3,662.42

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