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Finding the Fourth Proportional to 5,473.12, 8,213.84 and 2,141.92

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Solution

The fourth proportional to 5,473.12, 8,213.84 and 2,141.92 is: 3,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.12 : 8,213.84 = 2,141.92 : x
  2. Step 2: Convert to fraction form
    5,473.12/8,213.84 = 2,141.92/x
  3. Step 3: Cross multiply
    5,473.12x = 8,213.84 × 2,141.92
  4. Step 4: Simplify right side
    5,473.12x = 17,593,388.17
  5. Step 5: Solve for x
    x = 17,593,388.17/5,473.12
  6. Step 6: Final answer
    x = 3,214.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.