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Finding the Fourth Proportional to 3,665.47, 5,498.76 and 1,199.71

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Solution

The fourth proportional to 3,665.47, 5,498.76 and 1,199.71 is: 1,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.47 : 5,498.76 = 1,199.71 : x
  2. Step 2: Convert to fraction form
    3,665.47/5,498.76 = 1,199.71/x
  3. Step 3: Cross multiply
    3,665.47x = 5,498.76 × 1,199.71
  4. Step 4: Simplify right side
    3,665.47x = 6,596,917.36
  5. Step 5: Solve for x
    x = 6,596,917.36/3,665.47
  6. Step 6: Final answer
    x = 1,799.75

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