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Finding the Fourth Proportional to 4,294.68, 5,926.26 and 2,431.68

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Solution

The fourth proportional to 4,294.68, 5,926.26 and 2,431.68 is: 3,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.68 : 5,926.26 = 2,431.68 : x
  2. Step 2: Convert to fraction form
    4,294.68/5,926.26 = 2,431.68/x
  3. Step 3: Cross multiply
    4,294.68x = 5,926.26 × 2,431.68
  4. Step 4: Simplify right side
    4,294.68x = 14,410,767.92
  5. Step 5: Solve for x
    x = 14,410,767.92/4,294.68
  6. Step 6: Final answer
    x = 3,355.49

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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.