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Finding the Fourth Proportional to 5,687.84, 8,531.76 and 1,792.55

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Solution

The fourth proportional to 5,687.84, 8,531.76 and 1,792.55 is: 2,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.84 : 8,531.76 = 1,792.55 : x
  2. Step 2: Convert to fraction form
    5,687.84/8,531.76 = 1,792.55/x
  3. Step 3: Cross multiply
    5,687.84x = 8,531.76 × 1,792.55
  4. Step 4: Simplify right side
    5,687.84x = 15,293,571.32
  5. Step 5: Solve for x
    x = 15,293,571.32/5,687.84
  6. Step 6: Final answer
    x = 2,688.82

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