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Finding the Fourth Proportional to 4,157.88, 6,234.99 and 2,209.64

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Solution

The fourth proportional to 4,157.88, 6,234.99 and 2,209.64 is: 3,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.88 : 6,234.99 = 2,209.64 : x
  2. Step 2: Convert to fraction form
    4,157.88/6,234.99 = 2,209.64/x
  3. Step 3: Cross multiply
    4,157.88x = 6,234.99 × 2,209.64
  4. Step 4: Simplify right side
    4,157.88x = 13,777,052.13
  5. Step 5: Solve for x
    x = 13,777,052.13/4,157.88
  6. Step 6: Final answer
    x = 3,313.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.