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Finding the Fourth Proportional to 3,375, 5,062.50 and 1,183.14

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Solution

The fourth proportional to 3,375, 5,062.50 and 1,183.14 is: 1,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375 : 5,062.50 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    3,375/5,062.50 = 1,183.14/x
  3. Step 3: Cross multiply
    3,375x = 5,062.50 × 1,183.14
  4. Step 4: Simplify right side
    3,375x = 5,989,646.25
  5. Step 5: Solve for x
    x = 5,989,646.25/3,375
  6. Step 6: Final answer
    x = 1,774.71

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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.