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Finding the Fourth Proportional to 3,898.24, 5,851.95 and 3,077.08

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Solution

The fourth proportional to 3,898.24, 5,851.95 and 3,077.08 is: 4,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.24 : 5,851.95 = 3,077.08 : x
  2. Step 2: Convert to fraction form
    3,898.24/5,851.95 = 3,077.08/x
  3. Step 3: Cross multiply
    3,898.24x = 5,851.95 × 3,077.08
  4. Step 4: Simplify right side
    3,898.24x = 18,006,918.31
  5. Step 5: Solve for x
    x = 18,006,918.31/3,898.24
  6. Step 6: Final answer
    x = 4,619.24

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