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Finding the Fourth Proportional to 3,896.57, 5,377.67 and 2,303.73

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Solution

The fourth proportional to 3,896.57, 5,377.67 and 2,303.73 is: 3,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.57 : 5,377.67 = 2,303.73 : x
  2. Step 2: Convert to fraction form
    3,896.57/5,377.67 = 2,303.73/x
  3. Step 3: Cross multiply
    3,896.57x = 5,377.67 × 2,303.73
  4. Step 4: Simplify right side
    3,896.57x = 12,388,688.19
  5. Step 5: Solve for x
    x = 12,388,688.19/3,896.57
  6. Step 6: Final answer
    x = 3,179.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.