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Finding the Fourth Proportional to 3,467.33, 5,200.84 and 968.53

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Solution

The fourth proportional to 3,467.33, 5,200.84 and 968.53 is: 1,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.33 : 5,200.84 = 968.53 : x
  2. Step 2: Convert to fraction form
    3,467.33/5,200.84 = 968.53/x
  3. Step 3: Cross multiply
    3,467.33x = 5,200.84 × 968.53
  4. Step 4: Simplify right side
    3,467.33x = 5,037,167.14
  5. Step 5: Solve for x
    x = 5,037,167.14/3,467.33
  6. Step 6: Final answer
    x = 1,452.75

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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.