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Finding the Fourth Proportional to 3,105.76, 4,658.70 and 1,157.58

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Solution

The fourth proportional to 3,105.76, 4,658.70 and 1,157.58 is: 1,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.76 : 4,658.70 = 1,157.58 : x
  2. Step 2: Convert to fraction form
    3,105.76/4,658.70 = 1,157.58/x
  3. Step 3: Cross multiply
    3,105.76x = 4,658.70 × 1,157.58
  4. Step 4: Simplify right side
    3,105.76x = 5,392,817.95
  5. Step 5: Solve for x
    x = 5,392,817.95/3,105.76
  6. Step 6: Final answer
    x = 1,736.39

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