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Finding the Fourth Proportional to 3,892.64, 5,838.96 and 2,584.76

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Solution

The fourth proportional to 3,892.64, 5,838.96 and 2,584.76 is: 3,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.64 : 5,838.96 = 2,584.76 : x
  2. Step 2: Convert to fraction form
    3,892.64/5,838.96 = 2,584.76/x
  3. Step 3: Cross multiply
    3,892.64x = 5,838.96 × 2,584.76
  4. Step 4: Simplify right side
    3,892.64x = 15,092,281.05
  5. Step 5: Solve for x
    x = 15,092,281.05/3,892.64
  6. Step 6: Final answer
    x = 3,877.14

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