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Finding the Fourth Proportional to 3,964.89, 5,459.09 and 3,366.14

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Solution

The fourth proportional to 3,964.89, 5,459.09 and 3,366.14 is: 4,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.89 : 5,459.09 = 3,366.14 : x
  2. Step 2: Convert to fraction form
    3,964.89/5,459.09 = 3,366.14/x
  3. Step 3: Cross multiply
    3,964.89x = 5,459.09 × 3,366.14
  4. Step 4: Simplify right side
    3,964.89x = 18,376,061.21
  5. Step 5: Solve for x
    x = 18,376,061.21/3,964.89
  6. Step 6: Final answer
    x = 4,634.70

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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.