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Finding the Fourth Proportional to 3,697.33, 5,546 and 2,157.25

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Solution

The fourth proportional to 3,697.33, 5,546 and 2,157.25 is: 3,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.33 : 5,546 = 2,157.25 : x
  2. Step 2: Convert to fraction form
    3,697.33/5,546 = 2,157.25/x
  3. Step 3: Cross multiply
    3,697.33x = 5,546 × 2,157.25
  4. Step 4: Simplify right side
    3,697.33x = 11,964,108.50
  5. Step 5: Solve for x
    x = 11,964,108.50/3,697.33
  6. Step 6: Final answer
    x = 3,235.88

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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.