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Finding the Fourth Proportional to 3,792.05, 5,688.84 and 1,600.77

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Solution

The fourth proportional to 3,792.05, 5,688.84 and 1,600.77 is: 2,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.05 : 5,688.84 = 1,600.77 : x
  2. Step 2: Convert to fraction form
    3,792.05/5,688.84 = 1,600.77/x
  3. Step 3: Cross multiply
    3,792.05x = 5,688.84 × 1,600.77
  4. Step 4: Simplify right side
    3,792.05x = 9,106,524.41
  5. Step 5: Solve for x
    x = 9,106,524.41/3,792.05
  6. Step 6: Final answer
    x = 2,401.48

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