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Finding the Fourth Proportional to 3,878.06, 5,816.68 and 1,537.56

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Solution

The fourth proportional to 3,878.06, 5,816.68 and 1,537.56 is: 2,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.06 : 5,816.68 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    3,878.06/5,816.68 = 1,537.56/x
  3. Step 3: Cross multiply
    3,878.06x = 5,816.68 × 1,537.56
  4. Step 4: Simplify right side
    3,878.06x = 8,943,490.66
  5. Step 5: Solve for x
    x = 8,943,490.66/3,878.06
  6. Step 6: Final answer
    x = 2,306.18

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