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Finding the Fourth Proportional to 4,213.66, 5,814.86 and 2,446.30

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Solution

The fourth proportional to 4,213.66, 5,814.86 and 2,446.30 is: 3,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.66 : 5,814.86 = 2,446.30 : x
  2. Step 2: Convert to fraction form
    4,213.66/5,814.86 = 2,446.30/x
  3. Step 3: Cross multiply
    4,213.66x = 5,814.86 × 2,446.30
  4. Step 4: Simplify right side
    4,213.66x = 14,224,892.02
  5. Step 5: Solve for x
    x = 14,224,892.02/4,213.66
  6. Step 6: Final answer
    x = 3,375.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.