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Finding the Fourth Proportional to 3,470.64, 5,206.56 and 1,523.04

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Solution

The fourth proportional to 3,470.64, 5,206.56 and 1,523.04 is: 2,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.64 : 5,206.56 = 1,523.04 : x
  2. Step 2: Convert to fraction form
    3,470.64/5,206.56 = 1,523.04/x
  3. Step 3: Cross multiply
    3,470.64x = 5,206.56 × 1,523.04
  4. Step 4: Simplify right side
    3,470.64x = 7,929,799.14
  5. Step 5: Solve for x
    x = 7,929,799.14/3,470.64
  6. Step 6: Final answer
    x = 2,284.82

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