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Finding the Fourth Proportional to 3,200.64, 4,802.40 and 1,739.28

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Solution

The fourth proportional to 3,200.64, 4,802.40 and 1,739.28 is: 2,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.64 : 4,802.40 = 1,739.28 : x
  2. Step 2: Convert to fraction form
    3,200.64/4,802.40 = 1,739.28/x
  3. Step 3: Cross multiply
    3,200.64x = 4,802.40 × 1,739.28
  4. Step 4: Simplify right side
    3,200.64x = 8,352,718.27
  5. Step 5: Solve for x
    x = 8,352,718.27/3,200.64
  6. Step 6: Final answer
    x = 2,609.70

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