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Finding the Fourth Proportional to 5,221.64, 7,827.66 and 2,258.23

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Solution

The fourth proportional to 5,221.64, 7,827.66 and 2,258.23 is: 3,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.64 : 7,827.66 = 2,258.23 : x
  2. Step 2: Convert to fraction form
    5,221.64/7,827.66 = 2,258.23/x
  3. Step 3: Cross multiply
    5,221.64x = 7,827.66 × 2,258.23
  4. Step 4: Simplify right side
    5,221.64x = 17,676,656.64
  5. Step 5: Solve for x
    x = 17,676,656.64/5,221.64
  6. Step 6: Final answer
    x = 3,385.27

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