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Finding the Fourth Proportional to 3,878.24, 5,815.98 and 1,412.51

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Solution

The fourth proportional to 3,878.24, 5,815.98 and 1,412.51 is: 2,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.24 : 5,815.98 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    3,878.24/5,815.98 = 1,412.51/x
  3. Step 3: Cross multiply
    3,878.24x = 5,815.98 × 1,412.51
  4. Step 4: Simplify right side
    3,878.24x = 8,215,100.83
  5. Step 5: Solve for x
    x = 8,215,100.83/3,878.24
  6. Step 6: Final answer
    x = 2,118.26

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