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Finding the Fourth Proportional to 3,857.90, 5,787.76 and 1,666.64

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Solution

The fourth proportional to 3,857.90, 5,787.76 and 1,666.64 is: 2,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.90 : 5,787.76 = 1,666.64 : x
  2. Step 2: Convert to fraction form
    3,857.90/5,787.76 = 1,666.64/x
  3. Step 3: Cross multiply
    3,857.90x = 5,787.76 × 1,666.64
  4. Step 4: Simplify right side
    3,857.90x = 9,646,112.33
  5. Step 5: Solve for x
    x = 9,646,112.33/3,857.90
  6. Step 6: Final answer
    x = 2,500.35

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