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Finding the Fourth Proportional to 3,876.60, 5,815.92 and 1,685.76

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Solution

The fourth proportional to 3,876.60, 5,815.92 and 1,685.76 is: 2,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.60 : 5,815.92 = 1,685.76 : x
  2. Step 2: Convert to fraction form
    3,876.60/5,815.92 = 1,685.76/x
  3. Step 3: Cross multiply
    3,876.60x = 5,815.92 × 1,685.76
  4. Step 4: Simplify right side
    3,876.60x = 9,804,245.30
  5. Step 5: Solve for x
    x = 9,804,245.30/3,876.60
  6. Step 6: Final answer
    x = 2,529.08

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