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Finding the Fourth Proportional to 3,630.77, 5,446.08 and 1,165.78

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Solution

The fourth proportional to 3,630.77, 5,446.08 and 1,165.78 is: 1,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.77 : 5,446.08 = 1,165.78 : x
  2. Step 2: Convert to fraction form
    3,630.77/5,446.08 = 1,165.78/x
  3. Step 3: Cross multiply
    3,630.77x = 5,446.08 × 1,165.78
  4. Step 4: Simplify right side
    3,630.77x = 6,348,931.14
  5. Step 5: Solve for x
    x = 6,348,931.14/3,630.77
  6. Step 6: Final answer
    x = 1,748.65

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