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Finding the Fourth Proportional to 4,656.99, 6,985.69 and 1,537.27

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Solution

The fourth proportional to 4,656.99, 6,985.69 and 1,537.27 is: 2,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.99 : 6,985.69 = 1,537.27 : x
  2. Step 2: Convert to fraction form
    4,656.99/6,985.69 = 1,537.27/x
  3. Step 3: Cross multiply
    4,656.99x = 6,985.69 × 1,537.27
  4. Step 4: Simplify right side
    4,656.99x = 10,738,891.67
  5. Step 5: Solve for x
    x = 10,738,891.67/4,656.99
  6. Step 6: Final answer
    x = 2,305.97

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