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Finding the Fourth Proportional to 3,849.65, 5,777.07 and 1,658.60

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Solution

The fourth proportional to 3,849.65, 5,777.07 and 1,658.60 is: 2,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.65 : 5,777.07 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    3,849.65/5,777.07 = 1,658.60/x
  3. Step 3: Cross multiply
    3,849.65x = 5,777.07 × 1,658.60
  4. Step 4: Simplify right side
    3,849.65x = 9,581,848.30
  5. Step 5: Solve for x
    x = 9,581,848.30/3,849.65
  6. Step 6: Final answer
    x = 2,489.02

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