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Finding the Fourth Proportional to 3,828.70, 5,737.65 and 1,876.60

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Solution

The fourth proportional to 3,828.70, 5,737.65 and 1,876.60 is: 2,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.70 : 5,737.65 = 1,876.60 : x
  2. Step 2: Convert to fraction form
    3,828.70/5,737.65 = 1,876.60/x
  3. Step 3: Cross multiply
    3,828.70x = 5,737.65 × 1,876.60
  4. Step 4: Simplify right side
    3,828.70x = 10,767,273.99
  5. Step 5: Solve for x
    x = 10,767,273.99/3,828.70
  6. Step 6: Final answer
    x = 2,812.25

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