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Finding the Fourth Proportional to 3,464.96, 4,776.82 and 2,344.12

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Solution

The fourth proportional to 3,464.96, 4,776.82 and 2,344.12 is: 3,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.96 : 4,776.82 = 2,344.12 : x
  2. Step 2: Convert to fraction form
    3,464.96/4,776.82 = 2,344.12/x
  3. Step 3: Cross multiply
    3,464.96x = 4,776.82 × 2,344.12
  4. Step 4: Simplify right side
    3,464.96x = 11,197,439.30
  5. Step 5: Solve for x
    x = 11,197,439.30/3,464.96
  6. Step 6: Final answer
    x = 3,231.62

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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.