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Finding the Fourth Proportional to 4,196.97, 6,293.25 and 1,564.65

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Solution

The fourth proportional to 4,196.97, 6,293.25 and 1,564.65 is: 2,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.97 : 6,293.25 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    4,196.97/6,293.25 = 1,564.65/x
  3. Step 3: Cross multiply
    4,196.97x = 6,293.25 × 1,564.65
  4. Step 4: Simplify right side
    4,196.97x = 9,846,733.61
  5. Step 5: Solve for x
    x = 9,846,733.61/4,196.97
  6. Step 6: Final answer
    x = 2,346.15

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