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Finding the Fourth Proportional to 3,567, 5,349.74 and 1,375

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Solution

The fourth proportional to 3,567, 5,349.74 and 1,375 is: 2,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567 : 5,349.74 = 1,375 : x
  2. Step 2: Convert to fraction form
    3,567/5,349.74 = 1,375/x
  3. Step 3: Cross multiply
    3,567x = 5,349.74 × 1,375
  4. Step 4: Simplify right side
    3,567x = 7,355,892.50
  5. Step 5: Solve for x
    x = 7,355,892.50/3,567
  6. Step 6: Final answer
    x = 2,062.21

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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.