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Finding the Fourth Proportional to 4,358.23, 6,540.13 and 1,584.64

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Solution

The fourth proportional to 4,358.23, 6,540.13 and 1,584.64 is: 2,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.23 : 6,540.13 = 1,584.64 : x
  2. Step 2: Convert to fraction form
    4,358.23/6,540.13 = 1,584.64/x
  3. Step 3: Cross multiply
    4,358.23x = 6,540.13 × 1,584.64
  4. Step 4: Simplify right side
    4,358.23x = 10,363,731.29
  5. Step 5: Solve for x
    x = 10,363,731.29/4,358.23
  6. Step 6: Final answer
    x = 2,377.97

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