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Finding the Fourth Proportional to 3,296.87, 4,921.79 and 3,181.53

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Solution

The fourth proportional to 3,296.87, 4,921.79 and 3,181.53 is: 4,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.87 : 4,921.79 = 3,181.53 : x
  2. Step 2: Convert to fraction form
    3,296.87/4,921.79 = 3,181.53/x
  3. Step 3: Cross multiply
    3,296.87x = 4,921.79 × 3,181.53
  4. Step 4: Simplify right side
    3,296.87x = 15,658,806.63
  5. Step 5: Solve for x
    x = 15,658,806.63/3,296.87
  6. Step 6: Final answer
    x = 4,749.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.