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Finding the Fourth Proportional to 3,494.34, 5,234.22 and 2,176.20

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Solution

The fourth proportional to 3,494.34, 5,234.22 and 2,176.20 is: 3,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,234.22 = 2,176.20 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,234.22 = 2,176.20/x
  3. Step 3: Cross multiply
    3,494.34x = 5,234.22 × 2,176.20
  4. Step 4: Simplify right side
    3,494.34x = 11,390,709.56
  5. Step 5: Solve for x
    x = 11,390,709.56/3,494.34
  6. Step 6: Final answer
    x = 3,259.76

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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.