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Finding the Fourth Proportional to 3,404.61, 5,107.46 and 1,456.83

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Solution

The fourth proportional to 3,404.61, 5,107.46 and 1,456.83 is: 2,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.61 : 5,107.46 = 1,456.83 : x
  2. Step 2: Convert to fraction form
    3,404.61/5,107.46 = 1,456.83/x
  3. Step 3: Cross multiply
    3,404.61x = 5,107.46 × 1,456.83
  4. Step 4: Simplify right side
    3,404.61x = 7,440,693.67
  5. Step 5: Solve for x
    x = 7,440,693.67/3,404.61
  6. Step 6: Final answer
    x = 2,185.48

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