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Finding the Fourth Proportional to 3,467.37, 5,200.50 and 968.63

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Solution

The fourth proportional to 3,467.37, 5,200.50 and 968.63 is: 1,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.37 : 5,200.50 = 968.63 : x
  2. Step 2: Convert to fraction form
    3,467.37/5,200.50 = 968.63/x
  3. Step 3: Cross multiply
    3,467.37x = 5,200.50 × 968.63
  4. Step 4: Simplify right side
    3,467.37x = 5,037,337.94
  5. Step 5: Solve for x
    x = 5,037,337.94/3,467.37
  6. Step 6: Final answer
    x = 1,452.78

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Why These Related Problems?

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