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Finding the Fourth Proportional to 4,658.19, 6,986.69 and 1,537.42

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Solution

The fourth proportional to 4,658.19, 6,986.69 and 1,537.42 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.19 : 6,986.69 = 1,537.42 : x
  2. Step 2: Convert to fraction form
    4,658.19/6,986.69 = 1,537.42/x
  3. Step 3: Cross multiply
    4,658.19x = 6,986.69 × 1,537.42
  4. Step 4: Simplify right side
    4,658.19x = 10,741,476.94
  5. Step 5: Solve for x
    x = 10,741,476.94/4,658.19
  6. Step 6: Final answer
    x = 2,305.93

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