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Finding the Fourth Proportional to 3,296.70, 4,935.45 and 3,200.70

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Solution

The fourth proportional to 3,296.70, 4,935.45 and 3,200.70 is: 4,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.70 : 4,935.45 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    3,296.70/4,935.45 = 3,200.70/x
  3. Step 3: Cross multiply
    3,296.70x = 4,935.45 × 3,200.70
  4. Step 4: Simplify right side
    3,296.70x = 15,796,894.82
  5. Step 5: Solve for x
    x = 15,796,894.82/3,296.70
  6. Step 6: Final answer
    x = 4,791.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.