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Finding the Fourth Proportional to 4,157.24, 6,234.04 and 2,209

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Solution

The fourth proportional to 4,157.24, 6,234.04 and 2,209 is: 3,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.24 : 6,234.04 = 2,209 : x
  2. Step 2: Convert to fraction form
    4,157.24/6,234.04 = 2,209/x
  3. Step 3: Cross multiply
    4,157.24x = 6,234.04 × 2,209
  4. Step 4: Simplify right side
    4,157.24x = 13,770,994.36
  5. Step 5: Solve for x
    x = 13,770,994.36/4,157.24
  6. Step 6: Final answer
    x = 3,312.53

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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.