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Finding the Fourth Proportional to 5,204.32, 7,802.16 and 3,556.78

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Solution

The fourth proportional to 5,204.32, 7,802.16 and 3,556.78 is: 5,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.32 : 7,802.16 = 3,556.78 : x
  2. Step 2: Convert to fraction form
    5,204.32/7,802.16 = 3,556.78/x
  3. Step 3: Cross multiply
    5,204.32x = 7,802.16 × 3,556.78
  4. Step 4: Simplify right side
    5,204.32x = 27,750,566.64
  5. Step 5: Solve for x
    x = 27,750,566.64/5,204.32
  6. Step 6: Final answer
    x = 5,332.22

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