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Finding the Fourth Proportional to 3,657.24, 5,046.99 and 1,978.68

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Solution

The fourth proportional to 3,657.24, 5,046.99 and 1,978.68 is: 2,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.24 : 5,046.99 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    3,657.24/5,046.99 = 1,978.68/x
  3. Step 3: Cross multiply
    3,657.24x = 5,046.99 × 1,978.68
  4. Step 4: Simplify right side
    3,657.24x = 9,986,378.17
  5. Step 5: Solve for x
    x = 9,986,378.17/3,657.24
  6. Step 6: Final answer
    x = 2,730.58

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