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Finding the Fourth Proportional to 4,285.68, 5,914.17 and 2,493.24

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Solution

The fourth proportional to 4,285.68, 5,914.17 and 2,493.24 is: 3,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.68 : 5,914.17 = 2,493.24 : x
  2. Step 2: Convert to fraction form
    4,285.68/5,914.17 = 2,493.24/x
  3. Step 3: Cross multiply
    4,285.68x = 5,914.17 × 2,493.24
  4. Step 4: Simplify right side
    4,285.68x = 14,745,445.21
  5. Step 5: Solve for x
    x = 14,745,445.21/4,285.68
  6. Step 6: Final answer
    x = 3,440.63

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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.