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Finding the Fourth Proportional to 3,981.76, 5,493.36 and 2,584

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Solution

The fourth proportional to 3,981.76, 5,493.36 and 2,584 is: 3,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.76 : 5,493.36 = 2,584 : x
  2. Step 2: Convert to fraction form
    3,981.76/5,493.36 = 2,584/x
  3. Step 3: Cross multiply
    3,981.76x = 5,493.36 × 2,584
  4. Step 4: Simplify right side
    3,981.76x = 14,194,842.24
  5. Step 5: Solve for x
    x = 14,194,842.24/3,981.76
  6. Step 6: Final answer
    x = 3,564.97

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