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Finding the Fourth Proportional to 3,773.75, 5,207.78 and 2,201.86

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Solution

The fourth proportional to 3,773.75, 5,207.78 and 2,201.86 is: 3,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.75 : 5,207.78 = 2,201.86 : x
  2. Step 2: Convert to fraction form
    3,773.75/5,207.78 = 2,201.86/x
  3. Step 3: Cross multiply
    3,773.75x = 5,207.78 × 2,201.86
  4. Step 4: Simplify right side
    3,773.75x = 11,466,765.42
  5. Step 5: Solve for x
    x = 11,466,765.42/3,773.75
  6. Step 6: Final answer
    x = 3,038.56

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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.