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Finding the Fourth Proportional to 4,286.34, 5,914.89 and 2,493.68

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Solution

The fourth proportional to 4,286.34, 5,914.89 and 2,493.68 is: 3,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.34 : 5,914.89 = 2,493.68 : x
  2. Step 2: Convert to fraction form
    4,286.34/5,914.89 = 2,493.68/x
  3. Step 3: Cross multiply
    4,286.34x = 5,914.89 × 2,493.68
  4. Step 4: Simplify right side
    4,286.34x = 14,749,813.32
  5. Step 5: Solve for x
    x = 14,749,813.32/4,286.34
  6. Step 6: Final answer
    x = 3,441.12

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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.