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Finding the Fourth Proportional to 3,609.75, 5,416.80 and 1,557.75

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Solution

The fourth proportional to 3,609.75, 5,416.80 and 1,557.75 is: 2,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.75 : 5,416.80 = 1,557.75 : x
  2. Step 2: Convert to fraction form
    3,609.75/5,416.80 = 1,557.75/x
  3. Step 3: Cross multiply
    3,609.75x = 5,416.80 × 1,557.75
  4. Step 4: Simplify right side
    3,609.75x = 8,438,020.20
  5. Step 5: Solve for x
    x = 8,438,020.20/3,609.75
  6. Step 6: Final answer
    x = 2,337.56

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