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Finding the Fourth Proportional to 4,744.56, 7,116.74 and 1,582.23

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Solution

The fourth proportional to 4,744.56, 7,116.74 and 1,582.23 is: 2,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.56 : 7,116.74 = 1,582.23 : x
  2. Step 2: Convert to fraction form
    4,744.56/7,116.74 = 1,582.23/x
  3. Step 3: Cross multiply
    4,744.56x = 7,116.74 × 1,582.23
  4. Step 4: Simplify right side
    4,744.56x = 11,260,284.19
  5. Step 5: Solve for x
    x = 11,260,284.19/4,744.56
  6. Step 6: Final answer
    x = 2,373.31

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