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Finding the Fourth Proportional to 5,165.64, 7,748.31 and 3,473.16

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Solution

The fourth proportional to 5,165.64, 7,748.31 and 3,473.16 is: 5,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.64 : 7,748.31 = 3,473.16 : x
  2. Step 2: Convert to fraction form
    5,165.64/7,748.31 = 3,473.16/x
  3. Step 3: Cross multiply
    5,165.64x = 7,748.31 × 3,473.16
  4. Step 4: Simplify right side
    5,165.64x = 26,911,113.85
  5. Step 5: Solve for x
    x = 26,911,113.85/5,165.64
  6. Step 6: Final answer
    x = 5,209.64

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