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Finding the Fourth Proportional to 3,765.72, 5,645.85 and 1,575.09

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Solution

The fourth proportional to 3,765.72, 5,645.85 and 1,575.09 is: 2,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.72 : 5,645.85 = 1,575.09 : x
  2. Step 2: Convert to fraction form
    3,765.72/5,645.85 = 1,575.09/x
  3. Step 3: Cross multiply
    3,765.72x = 5,645.85 × 1,575.09
  4. Step 4: Simplify right side
    3,765.72x = 8,892,721.88
  5. Step 5: Solve for x
    x = 8,892,721.88/3,765.72
  6. Step 6: Final answer
    x = 2,361.49

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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.