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Finding the Fourth Proportional to 3,864, 5,333.04 and 2,933.76

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Solution

The fourth proportional to 3,864, 5,333.04 and 2,933.76 is: 4,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,333.04 = 2,933.76 : x
  2. Step 2: Convert to fraction form
    3,864/5,333.04 = 2,933.76/x
  3. Step 3: Cross multiply
    3,864x = 5,333.04 × 2,933.76
  4. Step 4: Simplify right side
    3,864x = 15,645,859.43
  5. Step 5: Solve for x
    x = 15,645,859.43/3,864
  6. Step 6: Final answer
    x = 4,049.14

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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.