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Finding the Fourth Proportional to 3,858.02, 5,786.85 and 1,547.90

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Solution

The fourth proportional to 3,858.02, 5,786.85 and 1,547.90 is: 2,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.02 : 5,786.85 = 1,547.90 : x
  2. Step 2: Convert to fraction form
    3,858.02/5,786.85 = 1,547.90/x
  3. Step 3: Cross multiply
    3,858.02x = 5,786.85 × 1,547.90
  4. Step 4: Simplify right side
    3,858.02x = 8,957,465.12
  5. Step 5: Solve for x
    x = 8,957,465.12/3,858.02
  6. Step 6: Final answer
    x = 2,321.78

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